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Finding the Fourth Proportional to 191.14, 285.17 and 173.82

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Solution

The fourth proportional to 191.14, 285.17 and 173.82 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.14 : 285.17 = 173.82 : x
  2. Step 2: Convert to fraction form
    191.14/285.17 = 173.82/x
  3. Step 3: Cross multiply
    191.14x = 285.17 × 173.82
  4. Step 4: Simplify right side
    191.14x = 49,568.25
  5. Step 5: Solve for x
    x = 49,568.25/191.14
  6. Step 6: Final answer
    x = 259.33

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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.