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Finding the Fourth Proportional to 243.26, 365.50 and 229.25

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Solution

The fourth proportional to 243.26, 365.50 and 229.25 is: 344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.26 : 365.50 = 229.25 : x
  2. Step 2: Convert to fraction form
    243.26/365.50 = 229.25/x
  3. Step 3: Cross multiply
    243.26x = 365.50 × 229.25
  4. Step 4: Simplify right side
    243.26x = 83,791.22
  5. Step 5: Solve for x
    x = 83,791.22/243.26
  6. Step 6: Final answer
    x = 344.46

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Why These Related Problems?

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