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Finding the Fourth Proportional to 166.52, 229.55 and 135.42

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Solution

The fourth proportional to 166.52, 229.55 and 135.42 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 229.55 = 135.42 : x
  2. Step 2: Convert to fraction form
    166.52/229.55 = 135.42/x
  3. Step 3: Cross multiply
    166.52x = 229.55 × 135.42
  4. Step 4: Simplify right side
    166.52x = 31,084.98
  5. Step 5: Solve for x
    x = 31,084.98/166.52
  6. Step 6: Final answer
    x = 186.68

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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.