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Finding the Fourth Proportional to 229.45, 343.65 and 138.04

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Solution

The fourth proportional to 229.45, 343.65 and 138.04 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.45 : 343.65 = 138.04 : x
  2. Step 2: Convert to fraction form
    229.45/343.65 = 138.04/x
  3. Step 3: Cross multiply
    229.45x = 343.65 × 138.04
  4. Step 4: Simplify right side
    229.45x = 47,439.04
  5. Step 5: Solve for x
    x = 47,439.04/229.45
  6. Step 6: Final answer
    x = 206.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.