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Finding the Fourth Proportional to 275.74, 380.16 and 229.30

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Solution

The fourth proportional to 275.74, 380.16 and 229.30 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.74 : 380.16 = 229.30 : x
  2. Step 2: Convert to fraction form
    275.74/380.16 = 229.30/x
  3. Step 3: Cross multiply
    275.74x = 380.16 × 229.30
  4. Step 4: Simplify right side
    275.74x = 87,170.69
  5. Step 5: Solve for x
    x = 87,170.69/275.74
  6. Step 6: Final answer
    x = 316.13

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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.