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Finding the Fourth Proportional to 165.82, 229.17 and 128.94

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Solution

The fourth proportional to 165.82, 229.17 and 128.94 is: 178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.82 : 229.17 = 128.94 : x
  2. Step 2: Convert to fraction form
    165.82/229.17 = 128.94/x
  3. Step 3: Cross multiply
    165.82x = 229.17 × 128.94
  4. Step 4: Simplify right side
    165.82x = 29,549.18
  5. Step 5: Solve for x
    x = 29,549.18/165.82
  6. Step 6: Final answer
    x = 178.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.