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Finding the Fourth Proportional to 392.36, 588.47 and 148.82

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Solution

The fourth proportional to 392.36, 588.47 and 148.82 is: 223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.36 : 588.47 = 148.82 : x
  2. Step 2: Convert to fraction form
    392.36/588.47 = 148.82/x
  3. Step 3: Cross multiply
    392.36x = 588.47 × 148.82
  4. Step 4: Simplify right side
    392.36x = 87,572.42
  5. Step 5: Solve for x
    x = 87,572.42/392.36
  6. Step 6: Final answer
    x = 223.20

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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.