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Finding the Fourth Proportional to 229.96, 344.98 and 106.69

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Solution

The fourth proportional to 229.96, 344.98 and 106.69 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.96 : 344.98 = 106.69 : x
  2. Step 2: Convert to fraction form
    229.96/344.98 = 106.69/x
  3. Step 3: Cross multiply
    229.96x = 344.98 × 106.69
  4. Step 4: Simplify right side
    229.96x = 36,805.42
  5. Step 5: Solve for x
    x = 36,805.42/229.96
  6. Step 6: Final answer
    x = 160.05

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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.