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Finding the Fourth Proportional to 392.77, 589.31 and 149.32

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Solution

The fourth proportional to 392.77, 589.31 and 149.32 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.77 : 589.31 = 149.32 : x
  2. Step 2: Convert to fraction form
    392.77/589.31 = 149.32/x
  3. Step 3: Cross multiply
    392.77x = 589.31 × 149.32
  4. Step 4: Simplify right side
    392.77x = 87,995.77
  5. Step 5: Solve for x
    x = 87,995.77/392.77
  6. Step 6: Final answer
    x = 224.04

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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.