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Finding the Fourth Proportional to 252.31, 347.07 and 219.52

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Solution

The fourth proportional to 252.31, 347.07 and 219.52 is: 301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.31 : 347.07 = 219.52 : x
  2. Step 2: Convert to fraction form
    252.31/347.07 = 219.52/x
  3. Step 3: Cross multiply
    252.31x = 347.07 × 219.52
  4. Step 4: Simplify right side
    252.31x = 76,188.81
  5. Step 5: Solve for x
    x = 76,188.81/252.31
  6. Step 6: Final answer
    x = 301.97

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