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Finding the Fourth Proportional to 229.26, 344.31 and 180.66

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Solution

The fourth proportional to 229.26, 344.31 and 180.66 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.26 : 344.31 = 180.66 : x
  2. Step 2: Convert to fraction form
    229.26/344.31 = 180.66/x
  3. Step 3: Cross multiply
    229.26x = 344.31 × 180.66
  4. Step 4: Simplify right side
    229.26x = 62,203.04
  5. Step 5: Solve for x
    x = 62,203.04/229.26
  6. Step 6: Final answer
    x = 271.32

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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.