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Finding the Fourth Proportional to 177.46, 266.14 and 54.04

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Solution

The fourth proportional to 177.46, 266.14 and 54.04 is: 81.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.46 : 266.14 = 54.04 : x
  2. Step 2: Convert to fraction form
    177.46/266.14 = 54.04/x
  3. Step 3: Cross multiply
    177.46x = 266.14 × 54.04
  4. Step 4: Simplify right side
    177.46x = 14,382.21
  5. Step 5: Solve for x
    x = 14,382.21/177.46
  6. Step 6: Final answer
    x = 81.04

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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.