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Finding the Fourth Proportional to 402.54, 603.84 and 142.51

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Solution

The fourth proportional to 402.54, 603.84 and 142.51 is: 213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 603.84 = 142.51 : x
  2. Step 2: Convert to fraction form
    402.54/603.84 = 142.51/x
  3. Step 3: Cross multiply
    402.54x = 603.84 × 142.51
  4. Step 4: Simplify right side
    402.54x = 86,053.24
  5. Step 5: Solve for x
    x = 86,053.24/402.54
  6. Step 6: Final answer
    x = 213.78

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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.