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Finding the Fourth Proportional to 177.32, 266.15 and 116.49

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Solution

The fourth proportional to 177.32, 266.15 and 116.49 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.32 : 266.15 = 116.49 : x
  2. Step 2: Convert to fraction form
    177.32/266.15 = 116.49/x
  3. Step 3: Cross multiply
    177.32x = 266.15 × 116.49
  4. Step 4: Simplify right side
    177.32x = 31,003.45
  5. Step 5: Solve for x
    x = 31,003.45/177.32
  6. Step 6: Final answer
    x = 174.85

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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.