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Finding the Fourth Proportional to 229.86, 344.70 and 106.47

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Solution

The fourth proportional to 229.86, 344.70 and 106.47 is: 159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.86 : 344.70 = 106.47 : x
  2. Step 2: Convert to fraction form
    229.86/344.70 = 106.47/x
  3. Step 3: Cross multiply
    229.86x = 344.70 × 106.47
  4. Step 4: Simplify right side
    229.86x = 36,700.21
  5. Step 5: Solve for x
    x = 36,700.21/229.86
  6. Step 6: Final answer
    x = 159.66

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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.