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Finding the Fourth Proportional to 392.32, 588.16 and 148.72

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Solution

The fourth proportional to 392.32, 588.16 and 148.72 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.32 : 588.16 = 148.72 : x
  2. Step 2: Convert to fraction form
    392.32/588.16 = 148.72/x
  3. Step 3: Cross multiply
    392.32x = 588.16 × 148.72
  4. Step 4: Simplify right side
    392.32x = 87,471.16
  5. Step 5: Solve for x
    x = 87,471.16/392.32
  6. Step 6: Final answer
    x = 222.96

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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.