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Finding the Fourth Proportional to 166.35, 229.38 and 140.09

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Solution

The fourth proportional to 166.35, 229.38 and 140.09 is: 193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.35 : 229.38 = 140.09 : x
  2. Step 2: Convert to fraction form
    166.35/229.38 = 140.09/x
  3. Step 3: Cross multiply
    166.35x = 229.38 × 140.09
  4. Step 4: Simplify right side
    166.35x = 32,132.58
  5. Step 5: Solve for x
    x = 32,132.58/166.35
  6. Step 6: Final answer
    x = 193.16

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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.