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Finding the Fourth Proportional to 191.29, 286.51 and 133.61

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Solution

The fourth proportional to 191.29, 286.51 and 133.61 is: 200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.29 : 286.51 = 133.61 : x
  2. Step 2: Convert to fraction form
    191.29/286.51 = 133.61/x
  3. Step 3: Cross multiply
    191.29x = 286.51 × 133.61
  4. Step 4: Simplify right side
    191.29x = 38,281.48
  5. Step 5: Solve for x
    x = 38,281.48/191.29
  6. Step 6: Final answer
    x = 200.13

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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.