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Finding the Fourth Proportional to 402.22, 603.37 and 142.16

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Solution

The fourth proportional to 402.22, 603.37 and 142.16 is: 213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.22 : 603.37 = 142.16 : x
  2. Step 2: Convert to fraction form
    402.22/603.37 = 142.16/x
  3. Step 3: Cross multiply
    402.22x = 603.37 × 142.16
  4. Step 4: Simplify right side
    402.22x = 85,776.94
  5. Step 5: Solve for x
    x = 85,776.94/402.22
  6. Step 6: Final answer
    x = 213.26

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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.