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Finding the Fourth Proportional to 252.31, 378.40 and 69.69

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Solution

The fourth proportional to 252.31, 378.40 and 69.69 is: 104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.31 : 378.40 = 69.69 : x
  2. Step 2: Convert to fraction form
    252.31/378.40 = 69.69/x
  3. Step 3: Cross multiply
    252.31x = 378.40 × 69.69
  4. Step 4: Simplify right side
    252.31x = 26,370.35
  5. Step 5: Solve for x
    x = 26,370.35/252.31
  6. Step 6: Final answer
    x = 104.52

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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.