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Finding the Fourth Proportional to 166.40, 229.50 and 109.57

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Solution

The fourth proportional to 166.40, 229.50 and 109.57 is: 151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.40 : 229.50 = 109.57 : x
  2. Step 2: Convert to fraction form
    166.40/229.50 = 109.57/x
  3. Step 3: Cross multiply
    166.40x = 229.50 × 109.57
  4. Step 4: Simplify right side
    166.40x = 25,146.32
  5. Step 5: Solve for x
    x = 25,146.32/166.40
  6. Step 6: Final answer
    x = 151.12

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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.