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Finding the Fourth Proportional to 177.52, 266.26 and 84.95

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Solution

The fourth proportional to 177.52, 266.26 and 84.95 is: 127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.52 : 266.26 = 84.95 : x
  2. Step 2: Convert to fraction form
    177.52/266.26 = 84.95/x
  3. Step 3: Cross multiply
    177.52x = 266.26 × 84.95
  4. Step 4: Simplify right side
    177.52x = 22,618.79
  5. Step 5: Solve for x
    x = 22,618.79/177.52
  6. Step 6: Final answer
    x = 127.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.