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Finding the Fourth Proportional to 229.80, 344.52 and 121.53

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Solution

The fourth proportional to 229.80, 344.52 and 121.53 is: 182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.80 : 344.52 = 121.53 : x
  2. Step 2: Convert to fraction form
    229.80/344.52 = 121.53/x
  3. Step 3: Cross multiply
    229.80x = 344.52 × 121.53
  4. Step 4: Simplify right side
    229.80x = 41,869.52
  5. Step 5: Solve for x
    x = 41,869.52/229.80
  6. Step 6: Final answer
    x = 182.20

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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.