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Finding the Fourth Proportional to 252.85, 348.90 and 158.38

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Solution

The fourth proportional to 252.85, 348.90 and 158.38 is: 218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.85 : 348.90 = 158.38 : x
  2. Step 2: Convert to fraction form
    252.85/348.90 = 158.38/x
  3. Step 3: Cross multiply
    252.85x = 348.90 × 158.38
  4. Step 4: Simplify right side
    252.85x = 55,258.78
  5. Step 5: Solve for x
    x = 55,258.78/252.85
  6. Step 6: Final answer
    x = 218.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.