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Finding the Fourth Proportional to 177.36, 265.92 and 84.66

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Solution

The fourth proportional to 177.36, 265.92 and 84.66 is: 126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.36 : 265.92 = 84.66 : x
  2. Step 2: Convert to fraction form
    177.36/265.92 = 84.66/x
  3. Step 3: Cross multiply
    177.36x = 265.92 × 84.66
  4. Step 4: Simplify right side
    177.36x = 22,512.79
  5. Step 5: Solve for x
    x = 22,512.79/177.36
  6. Step 6: Final answer
    x = 126.93

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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.