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Finding the Fourth Proportional to 207.32, 311.45 and 125.27

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Solution

The fourth proportional to 207.32, 311.45 and 125.27 is: 188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.32 : 311.45 = 125.27 : x
  2. Step 2: Convert to fraction form
    207.32/311.45 = 125.27/x
  3. Step 3: Cross multiply
    207.32x = 311.45 × 125.27
  4. Step 4: Simplify right side
    207.32x = 39,013.78
  5. Step 5: Solve for x
    x = 39,013.78/207.32
  6. Step 6: Final answer
    x = 188.19

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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.