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Finding the Fourth Proportional to 177.71, 267.18 and 116.96

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Solution

The fourth proportional to 177.71, 267.18 and 116.96 is: 175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.71 : 267.18 = 116.96 : x
  2. Step 2: Convert to fraction form
    177.71/267.18 = 116.96/x
  3. Step 3: Cross multiply
    177.71x = 267.18 × 116.96
  4. Step 4: Simplify right side
    177.71x = 31,248.79
  5. Step 5: Solve for x
    x = 31,248.79/177.71
  6. Step 6: Final answer
    x = 175.84

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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.