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Finding the Fourth Proportional to 402.97, 604.55 and 142.99

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Solution

The fourth proportional to 402.97, 604.55 and 142.99 is: 214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.97 : 604.55 = 142.99 : x
  2. Step 2: Convert to fraction form
    402.97/604.55 = 142.99/x
  3. Step 3: Cross multiply
    402.97x = 604.55 × 142.99
  4. Step 4: Simplify right side
    402.97x = 86,443.89
  5. Step 5: Solve for x
    x = 86,443.89/402.97
  6. Step 6: Final answer
    x = 214.52

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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.