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Finding the Fourth Proportional to 252.25, 378.30 and 69.59

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Solution

The fourth proportional to 252.25, 378.30 and 69.59 is: 104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.25 : 378.30 = 69.59 : x
  2. Step 2: Convert to fraction form
    252.25/378.30 = 69.59/x
  3. Step 3: Cross multiply
    252.25x = 378.30 × 69.59
  4. Step 4: Simplify right side
    252.25x = 26,327.10
  5. Step 5: Solve for x
    x = 26,327.10/252.25
  6. Step 6: Final answer
    x = 104.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.