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Finding the Fourth Proportional to 252.58, 348.58 and 215.72

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Solution

The fourth proportional to 252.58, 348.58 and 215.72 is: 297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.58 : 348.58 = 215.72 : x
  2. Step 2: Convert to fraction form
    252.58/348.58 = 215.72/x
  3. Step 3: Cross multiply
    252.58x = 348.58 × 215.72
  4. Step 4: Simplify right side
    252.58x = 75,195.68
  5. Step 5: Solve for x
    x = 75,195.68/252.58
  6. Step 6: Final answer
    x = 297.71

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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.