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Finding the Fourth Proportional to 191.14, 285.04 and 170.13

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Solution

The fourth proportional to 191.14, 285.04 and 170.13 is: 253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.14 : 285.04 = 170.13 : x
  2. Step 2: Convert to fraction form
    191.14/285.04 = 170.13/x
  3. Step 3: Cross multiply
    191.14x = 285.04 × 170.13
  4. Step 4: Simplify right side
    191.14x = 48,493.86
  5. Step 5: Solve for x
    x = 48,493.86/191.14
  6. Step 6: Final answer
    x = 253.71

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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.