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Finding the Fourth Proportional to 177.36, 266.15 and 86.13

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Solution

The fourth proportional to 177.36, 266.15 and 86.13 is: 129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.36 : 266.15 = 86.13 : x
  2. Step 2: Convert to fraction form
    177.36/266.15 = 86.13/x
  3. Step 3: Cross multiply
    177.36x = 266.15 × 86.13
  4. Step 4: Simplify right side
    177.36x = 22,923.71
  5. Step 5: Solve for x
    x = 22,923.71/177.36
  6. Step 6: Final answer
    x = 129.25

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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.