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Finding the Fourth Proportional to 191.29, 286.52 and 142.62

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Solution

The fourth proportional to 191.29, 286.52 and 142.62 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.29 : 286.52 = 142.62 : x
  2. Step 2: Convert to fraction form
    191.29/286.52 = 142.62/x
  3. Step 3: Cross multiply
    191.29x = 286.52 × 142.62
  4. Step 4: Simplify right side
    191.29x = 40,863.48
  5. Step 5: Solve for x
    x = 40,863.48/191.29
  6. Step 6: Final answer
    x = 213.62

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