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Finding the Fourth Proportional to 191.38, 287.15 and 95.19

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Solution

The fourth proportional to 191.38, 287.15 and 95.19 is: 142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.38 : 287.15 = 95.19 : x
  2. Step 2: Convert to fraction form
    191.38/287.15 = 95.19/x
  3. Step 3: Cross multiply
    191.38x = 287.15 × 95.19
  4. Step 4: Simplify right side
    191.38x = 27,333.81
  5. Step 5: Solve for x
    x = 27,333.81/191.38
  6. Step 6: Final answer
    x = 142.82

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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.