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Finding the Fourth Proportional to 162.31, 224.00 and 129.80

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Solution

The fourth proportional to 162.31, 224.00 and 129.80 is: 179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.31 : 224.00 = 129.80 : x
  2. Step 2: Convert to fraction form
    162.31/224.00 = 129.80/x
  3. Step 3: Cross multiply
    162.31x = 224.00 × 129.80
  4. Step 4: Simplify right side
    162.31x = 29,074.55
  5. Step 5: Solve for x
    x = 29,074.55/162.31
  6. Step 6: Final answer
    x = 179.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.