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Finding the Fourth Proportional to 207.92, 312.07 and 158.71

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Solution

The fourth proportional to 207.92, 312.07 and 158.71 is: 238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 312.07 = 158.71 : x
  2. Step 2: Convert to fraction form
    207.92/312.07 = 158.71/x
  3. Step 3: Cross multiply
    207.92x = 312.07 × 158.71
  4. Step 4: Simplify right side
    207.92x = 49,527.07
  5. Step 5: Solve for x
    x = 49,527.07/207.92
  6. Step 6: Final answer
    x = 238.21

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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.