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Finding the Fourth Proportional to 225.49, 311.25 and 138.16

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Solution

The fourth proportional to 225.49, 311.25 and 138.16 is: 190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.49 : 311.25 = 138.16 : x
  2. Step 2: Convert to fraction form
    225.49/311.25 = 138.16/x
  3. Step 3: Cross multiply
    225.49x = 311.25 × 138.16
  4. Step 4: Simplify right side
    225.49x = 43,002.30
  5. Step 5: Solve for x
    x = 43,002.30/225.49
  6. Step 6: Final answer
    x = 190.71

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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.