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Finding the Fourth Proportional to 191.97, 289.17 and 152.28

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Solution

The fourth proportional to 191.97, 289.17 and 152.28 is: 229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.97 : 289.17 = 152.28 : x
  2. Step 2: Convert to fraction form
    191.97/289.17 = 152.28/x
  3. Step 3: Cross multiply
    191.97x = 289.17 × 152.28
  4. Step 4: Simplify right side
    191.97x = 44,034.81
  5. Step 5: Solve for x
    x = 44,034.81/191.97
  6. Step 6: Final answer
    x = 229.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.