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Finding the Fourth Proportional to 229.56, 344.16 and 121.29

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Solution

The fourth proportional to 229.56, 344.16 and 121.29 is: 181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 344.16 = 121.29 : x
  2. Step 2: Convert to fraction form
    229.56/344.16 = 121.29/x
  3. Step 3: Cross multiply
    229.56x = 344.16 × 121.29
  4. Step 4: Simplify right side
    229.56x = 41,743.17
  5. Step 5: Solve for x
    x = 41,743.17/229.56
  6. Step 6: Final answer
    x = 181.84

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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.