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Finding the Fourth Proportional to 229.70, 344.19 and 106.24

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Solution

The fourth proportional to 229.70, 344.19 and 106.24 is: 159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.70 : 344.19 = 106.24 : x
  2. Step 2: Convert to fraction form
    229.70/344.19 = 106.24/x
  3. Step 3: Cross multiply
    229.70x = 344.19 × 106.24
  4. Step 4: Simplify right side
    229.70x = 36,566.75
  5. Step 5: Solve for x
    x = 36,566.75/229.70
  6. Step 6: Final answer
    x = 159.19

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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.