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Finding the Fourth Proportional to 191.89, 286.42 and 167.71

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Solution

The fourth proportional to 191.89, 286.42 and 167.71 is: 250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.89 : 286.42 = 167.71 : x
  2. Step 2: Convert to fraction form
    191.89/286.42 = 167.71/x
  3. Step 3: Cross multiply
    191.89x = 286.42 × 167.71
  4. Step 4: Simplify right side
    191.89x = 48,035.50
  5. Step 5: Solve for x
    x = 48,035.50/191.89
  6. Step 6: Final answer
    x = 250.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.