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Finding the Fourth Proportional to 392.10, 587.92 and 148.34

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Solution

The fourth proportional to 392.10, 587.92 and 148.34 is: 222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.10 : 587.92 = 148.34 : x
  2. Step 2: Convert to fraction form
    392.10/587.92 = 148.34/x
  3. Step 3: Cross multiply
    392.10x = 587.92 × 148.34
  4. Step 4: Simplify right side
    392.10x = 87,212.05
  5. Step 5: Solve for x
    x = 87,212.05/392.10
  6. Step 6: Final answer
    x = 222.42

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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.