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Finding the Fourth Proportional to 166.25, 229.57 and 135.54

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Solution

The fourth proportional to 166.25, 229.57 and 135.54 is: 187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.25 : 229.57 = 135.54 : x
  2. Step 2: Convert to fraction form
    166.25/229.57 = 135.54/x
  3. Step 3: Cross multiply
    166.25x = 229.57 × 135.54
  4. Step 4: Simplify right side
    166.25x = 31,115.58
  5. Step 5: Solve for x
    x = 31,115.58/166.25
  6. Step 6: Final answer
    x = 187.16

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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.