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Finding the Fourth Proportional to 149.50, 206.42 and 116.69

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Solution

The fourth proportional to 149.50, 206.42 and 116.69 is: 161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 206.42 = 116.69 : x
  2. Step 2: Convert to fraction form
    149.50/206.42 = 116.69/x
  3. Step 3: Cross multiply
    149.50x = 206.42 × 116.69
  4. Step 4: Simplify right side
    149.50x = 24,087.15
  5. Step 5: Solve for x
    x = 24,087.15/149.50
  6. Step 6: Final answer
    x = 161.12

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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.