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Finding the Fourth Proportional to 177.43, 266.37 and 129.64

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Solution

The fourth proportional to 177.43, 266.37 and 129.64 is: 194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.43 : 266.37 = 129.64 : x
  2. Step 2: Convert to fraction form
    177.43/266.37 = 129.64/x
  3. Step 3: Cross multiply
    177.43x = 266.37 × 129.64
  4. Step 4: Simplify right side
    177.43x = 34,532.21
  5. Step 5: Solve for x
    x = 34,532.21/177.43
  6. Step 6: Final answer
    x = 194.62

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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.