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Finding the Fourth Proportional to 247.65, 371.48 and 85.34

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Solution

The fourth proportional to 247.65, 371.48 and 85.34 is: 128.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.65 : 371.48 = 85.34 : x
  2. Step 2: Convert to fraction form
    247.65/371.48 = 85.34/x
  3. Step 3: Cross multiply
    247.65x = 371.48 × 85.34
  4. Step 4: Simplify right side
    247.65x = 31,700.14
  5. Step 5: Solve for x
    x = 31,700.14/247.65
  6. Step 6: Final answer
    x = 128.00

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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.