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Finding the Fourth Proportional to 177.57, 266.13 and 69.30

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Solution

The fourth proportional to 177.57, 266.13 and 69.30 is: 103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.57 : 266.13 = 69.30 : x
  2. Step 2: Convert to fraction form
    177.57/266.13 = 69.30/x
  3. Step 3: Cross multiply
    177.57x = 266.13 × 69.30
  4. Step 4: Simplify right side
    177.57x = 18,442.81
  5. Step 5: Solve for x
    x = 18,442.81/177.57
  6. Step 6: Final answer
    x = 103.86

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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.