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Finding the Fourth Proportional to 252.38, 348.20 and 147.43

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Solution

The fourth proportional to 252.38, 348.20 and 147.43 is: 203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.38 : 348.20 = 147.43 : x
  2. Step 2: Convert to fraction form
    252.38/348.20 = 147.43/x
  3. Step 3: Cross multiply
    252.38x = 348.20 × 147.43
  4. Step 4: Simplify right side
    252.38x = 51,334.82
  5. Step 5: Solve for x
    x = 51,334.82/252.38
  6. Step 6: Final answer
    x = 203.40

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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.