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Finding the Fourth Proportional to 402.41, 603.55 and 142.60

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Solution

The fourth proportional to 402.41, 603.55 and 142.60 is: 213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.41 : 603.55 = 142.60 : x
  2. Step 2: Convert to fraction form
    402.41/603.55 = 142.60/x
  3. Step 3: Cross multiply
    402.41x = 603.55 × 142.60
  4. Step 4: Simplify right side
    402.41x = 86,066.23
  5. Step 5: Solve for x
    x = 86,066.23/402.41
  6. Step 6: Final answer
    x = 213.88

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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.