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Finding the Fourth Proportional to 392.08, 587.80 and 148.47

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Solution

The fourth proportional to 392.08, 587.80 and 148.47 is: 222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.08 : 587.80 = 148.47 : x
  2. Step 2: Convert to fraction form
    392.08/587.80 = 148.47/x
  3. Step 3: Cross multiply
    392.08x = 587.80 × 148.47
  4. Step 4: Simplify right side
    392.08x = 87,270.67
  5. Step 5: Solve for x
    x = 87,270.67/392.08
  6. Step 6: Final answer
    x = 222.58

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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.