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Finding the Fourth Proportional to 191.34, 286.78 and 87.10

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Solution

The fourth proportional to 191.34, 286.78 and 87.10 is: 130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.34 : 286.78 = 87.10 : x
  2. Step 2: Convert to fraction form
    191.34/286.78 = 87.10/x
  3. Step 3: Cross multiply
    191.34x = 286.78 × 87.10
  4. Step 4: Simplify right side
    191.34x = 24,978.54
  5. Step 5: Solve for x
    x = 24,978.54/191.34
  6. Step 6: Final answer
    x = 130.55

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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.