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Finding the Fourth Proportional to 274.17, 411.66 and 158.73

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Solution

The fourth proportional to 274.17, 411.66 and 158.73 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 411.66 = 158.73 : x
  2. Step 2: Convert to fraction form
    274.17/411.66 = 158.73/x
  3. Step 3: Cross multiply
    274.17x = 411.66 × 158.73
  4. Step 4: Simplify right side
    274.17x = 65,342.79
  5. Step 5: Solve for x
    x = 65,342.79/274.17
  6. Step 6: Final answer
    x = 238.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.