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Finding the Fourth Proportional to 507.52, 761.22 and 142.36

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Solution

The fourth proportional to 507.52, 761.22 and 142.36 is: 213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 761.22 = 142.36 : x
  2. Step 2: Convert to fraction form
    507.52/761.22 = 142.36/x
  3. Step 3: Cross multiply
    507.52x = 761.22 × 142.36
  4. Step 4: Simplify right side
    507.52x = 108,367.28
  5. Step 5: Solve for x
    x = 108,367.28/507.52
  6. Step 6: Final answer
    x = 213.52

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.