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Finding the Fourth Proportional to 166.13, 229.31 and 135.02

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Solution

The fourth proportional to 166.13, 229.31 and 135.02 is: 186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.13 : 229.31 = 135.02 : x
  2. Step 2: Convert to fraction form
    166.13/229.31 = 135.02/x
  3. Step 3: Cross multiply
    166.13x = 229.31 × 135.02
  4. Step 4: Simplify right side
    166.13x = 30,960.17
  5. Step 5: Solve for x
    x = 30,960.17/166.13
  6. Step 6: Final answer
    x = 186.37

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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.