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Finding the Fourth Proportional to 252.64, 348.60 and 225.10

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Solution

The fourth proportional to 252.64, 348.60 and 225.10 is: 310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.64 : 348.60 = 225.10 : x
  2. Step 2: Convert to fraction form
    252.64/348.60 = 225.10/x
  3. Step 3: Cross multiply
    252.64x = 348.60 × 225.10
  4. Step 4: Simplify right side
    252.64x = 78,469.86
  5. Step 5: Solve for x
    x = 78,469.86/252.64
  6. Step 6: Final answer
    x = 310.60

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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.