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Finding the Fourth Proportional to 229.20, 315.90 and 155.48

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Solution

The fourth proportional to 229.20, 315.90 and 155.48 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.20 : 315.90 = 155.48 : x
  2. Step 2: Convert to fraction form
    229.20/315.90 = 155.48/x
  3. Step 3: Cross multiply
    229.20x = 315.90 × 155.48
  4. Step 4: Simplify right side
    229.20x = 49,116.13
  5. Step 5: Solve for x
    x = 49,116.13/229.20
  6. Step 6: Final answer
    x = 214.29

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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.