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Finding the Fourth Proportional to 507.52, 761.27 and 142.30

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Solution

The fourth proportional to 507.52, 761.27 and 142.30 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 761.27 = 142.30 : x
  2. Step 2: Convert to fraction form
    507.52/761.27 = 142.30/x
  3. Step 3: Cross multiply
    507.52x = 761.27 × 142.30
  4. Step 4: Simplify right side
    507.52x = 108,328.01
  5. Step 5: Solve for x
    x = 108,328.01/507.52
  6. Step 6: Final answer
    x = 213.45

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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.