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Finding the Fourth Proportional to 177.08, 265.62 and 61.52

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Solution

The fourth proportional to 177.08, 265.62 and 61.52 is: 92.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.08 : 265.62 = 61.52 : x
  2. Step 2: Convert to fraction form
    177.08/265.62 = 61.52/x
  3. Step 3: Cross multiply
    177.08x = 265.62 × 61.52
  4. Step 4: Simplify right side
    177.08x = 16,340.94
  5. Step 5: Solve for x
    x = 16,340.94/177.08
  6. Step 6: Final answer
    x = 92.28

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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.