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Finding the Fourth Proportional to 191.13, 286.70 and 161.97

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Solution

The fourth proportional to 191.13, 286.70 and 161.97 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.13 : 286.70 = 161.97 : x
  2. Step 2: Convert to fraction form
    191.13/286.70 = 161.97/x
  3. Step 3: Cross multiply
    191.13x = 286.70 × 161.97
  4. Step 4: Simplify right side
    191.13x = 46,436.80
  5. Step 5: Solve for x
    x = 46,436.80/191.13
  6. Step 6: Final answer
    x = 242.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.