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Finding the Fourth Proportional to 507.54, 761.33 and 142.36

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Solution

The fourth proportional to 507.54, 761.33 and 142.36 is: 213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.54 : 761.33 = 142.36 : x
  2. Step 2: Convert to fraction form
    507.54/761.33 = 142.36/x
  3. Step 3: Cross multiply
    507.54x = 761.33 × 142.36
  4. Step 4: Simplify right side
    507.54x = 108,382.94
  5. Step 5: Solve for x
    x = 108,382.94/507.54
  6. Step 6: Final answer
    x = 213.55

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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.