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Finding the Fourth Proportional to 177.46, 266.05 and 85.96

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Solution

The fourth proportional to 177.46, 266.05 and 85.96 is: 128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.46 : 266.05 = 85.96 : x
  2. Step 2: Convert to fraction form
    177.46/266.05 = 85.96/x
  3. Step 3: Cross multiply
    177.46x = 266.05 × 85.96
  4. Step 4: Simplify right side
    177.46x = 22,870.10
  5. Step 5: Solve for x
    x = 22,870.10/177.46
  6. Step 6: Final answer
    x = 128.88

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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.