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Finding the Fourth Proportional to 149.70, 206.66 and 116.89

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Solution

The fourth proportional to 149.70, 206.66 and 116.89 is: 161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.70 : 206.66 = 116.89 : x
  2. Step 2: Convert to fraction form
    149.70/206.66 = 116.89/x
  3. Step 3: Cross multiply
    149.70x = 206.66 × 116.89
  4. Step 4: Simplify right side
    149.70x = 24,157.59
  5. Step 5: Solve for x
    x = 24,157.59/149.70
  6. Step 6: Final answer
    x = 161.38

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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.