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Finding the Fourth Proportional to 149.67, 206.19 and 140.85

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Solution

The fourth proportional to 149.67, 206.19 and 140.85 is: 194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.67 : 206.19 = 140.85 : x
  2. Step 2: Convert to fraction form
    149.67/206.19 = 140.85/x
  3. Step 3: Cross multiply
    149.67x = 206.19 × 140.85
  4. Step 4: Simplify right side
    149.67x = 29,041.86
  5. Step 5: Solve for x
    x = 29,041.86/149.67
  6. Step 6: Final answer
    x = 194.04

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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.