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Finding the Fourth Proportional to 191.76, 288.17 and 114.73

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Solution

The fourth proportional to 191.76, 288.17 and 114.73 is: 172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.76 : 288.17 = 114.73 : x
  2. Step 2: Convert to fraction form
    191.76/288.17 = 114.73/x
  3. Step 3: Cross multiply
    191.76x = 288.17 × 114.73
  4. Step 4: Simplify right side
    191.76x = 33,061.74
  5. Step 5: Solve for x
    x = 33,061.74/191.76
  6. Step 6: Final answer
    x = 172.41

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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.