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Finding the Fourth Proportional to 177.29, 265.94 and 86.06

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Solution

The fourth proportional to 177.29, 265.94 and 86.06 is: 129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.29 : 265.94 = 86.06 : x
  2. Step 2: Convert to fraction form
    177.29/265.94 = 86.06/x
  3. Step 3: Cross multiply
    177.29x = 265.94 × 86.06
  4. Step 4: Simplify right side
    177.29x = 22,887.68
  5. Step 5: Solve for x
    x = 22,887.68/177.29
  6. Step 6: Final answer
    x = 129.10

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Why These Related Problems?

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