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Finding the Fourth Proportional to 177.53, 265.91 and 90.71

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Solution

The fourth proportional to 177.53, 265.91 and 90.71 is: 135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.53 : 265.91 = 90.71 : x
  2. Step 2: Convert to fraction form
    177.53/265.91 = 90.71/x
  3. Step 3: Cross multiply
    177.53x = 265.91 × 90.71
  4. Step 4: Simplify right side
    177.53x = 24,120.91
  5. Step 5: Solve for x
    x = 24,120.91/177.53
  6. Step 6: Final answer
    x = 135.87

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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.