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Finding the Fourth Proportional to 229.57, 344.27 and 75.46

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Solution

The fourth proportional to 229.57, 344.27 and 75.46 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.57 : 344.27 = 75.46 : x
  2. Step 2: Convert to fraction form
    229.57/344.27 = 75.46/x
  3. Step 3: Cross multiply
    229.57x = 344.27 × 75.46
  4. Step 4: Simplify right side
    229.57x = 25,977.29
  5. Step 5: Solve for x
    x = 25,977.29/229.57
  6. Step 6: Final answer
    x = 113.16

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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.