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Finding the Fourth Proportional to 548.46, 822.71 and 158.47

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Solution

The fourth proportional to 548.46, 822.71 and 158.47 is: 237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.46 : 822.71 = 158.47 : x
  2. Step 2: Convert to fraction form
    548.46/822.71 = 158.47/x
  3. Step 3: Cross multiply
    548.46x = 822.71 × 158.47
  4. Step 4: Simplify right side
    548.46x = 130,374.85
  5. Step 5: Solve for x
    x = 130,374.85/548.46
  6. Step 6: Final answer
    x = 237.71

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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.