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Finding the Fourth Proportional to 177.18, 265.79 and 55.44

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Solution

The fourth proportional to 177.18, 265.79 and 55.44 is: 83.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.18 : 265.79 = 55.44 : x
  2. Step 2: Convert to fraction form
    177.18/265.79 = 55.44/x
  3. Step 3: Cross multiply
    177.18x = 265.79 × 55.44
  4. Step 4: Simplify right side
    177.18x = 14,735.12
  5. Step 5: Solve for x
    x = 14,735.12/177.18
  6. Step 6: Final answer
    x = 83.16

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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.