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Finding the Fourth Proportional to 252.24, 348.12 and 229.02

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Solution

The fourth proportional to 252.24, 348.12 and 229.02 is: 316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.24 : 348.12 = 229.02 : x
  2. Step 2: Convert to fraction form
    252.24/348.12 = 229.02/x
  3. Step 3: Cross multiply
    252.24x = 348.12 × 229.02
  4. Step 4: Simplify right side
    252.24x = 79,726.44
  5. Step 5: Solve for x
    x = 79,726.44/252.24
  6. Step 6: Final answer
    x = 316.07

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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.