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Finding the Fourth Proportional to 177.72, 266.25 and 96.57

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Solution

The fourth proportional to 177.72, 266.25 and 96.57 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.72 : 266.25 = 96.57 : x
  2. Step 2: Convert to fraction form
    177.72/266.25 = 96.57/x
  3. Step 3: Cross multiply
    177.72x = 266.25 × 96.57
  4. Step 4: Simplify right side
    177.72x = 25,711.76
  5. Step 5: Solve for x
    x = 25,711.76/177.72
  6. Step 6: Final answer
    x = 144.68

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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.