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Finding the Fourth Proportional to 247.64, 371.49 and 85.33

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Solution

The fourth proportional to 247.64, 371.49 and 85.33 is: 128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.64 : 371.49 = 85.33 : x
  2. Step 2: Convert to fraction form
    247.64/371.49 = 85.33/x
  3. Step 3: Cross multiply
    247.64x = 371.49 × 85.33
  4. Step 4: Simplify right side
    247.64x = 31,698.82
  5. Step 5: Solve for x
    x = 31,698.82/247.64
  6. Step 6: Final answer
    x = 128.01

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Why These Related Problems?

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