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Finding the Fourth Proportional to 177.57, 266.05 and 125.95

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Solution

The fourth proportional to 177.57, 266.05 and 125.95 is: 188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.57 : 266.05 = 125.95 : x
  2. Step 2: Convert to fraction form
    177.57/266.05 = 125.95/x
  3. Step 3: Cross multiply
    177.57x = 266.05 × 125.95
  4. Step 4: Simplify right side
    177.57x = 33,508.37
  5. Step 5: Solve for x
    x = 33,508.37/177.57
  6. Step 6: Final answer
    x = 188.71

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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.