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Finding the Fourth Proportional to 229.53, 344.40 and 200.97

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Solution

The fourth proportional to 229.53, 344.40 and 200.97 is: 301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.53 : 344.40 = 200.97 : x
  2. Step 2: Convert to fraction form
    229.53/344.40 = 200.97/x
  3. Step 3: Cross multiply
    229.53x = 344.40 × 200.97
  4. Step 4: Simplify right side
    229.53x = 69,214.07
  5. Step 5: Solve for x
    x = 69,214.07/229.53
  6. Step 6: Final answer
    x = 301.55

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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.