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Finding the Fourth Proportional to 149.48, 206.05 and 116.67

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Solution

The fourth proportional to 149.48, 206.05 and 116.67 is: 160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.48 : 206.05 = 116.67 : x
  2. Step 2: Convert to fraction form
    149.48/206.05 = 116.67/x
  3. Step 3: Cross multiply
    149.48x = 206.05 × 116.67
  4. Step 4: Simplify right side
    149.48x = 24,039.85
  5. Step 5: Solve for x
    x = 24,039.85/149.48
  6. Step 6: Final answer
    x = 160.82

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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.