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Finding the Fourth Proportional to 235.46, 353.05 and 113.76

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Solution

The fourth proportional to 235.46, 353.05 and 113.76 is: 170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.46 : 353.05 = 113.76 : x
  2. Step 2: Convert to fraction form
    235.46/353.05 = 113.76/x
  3. Step 3: Cross multiply
    235.46x = 353.05 × 113.76
  4. Step 4: Simplify right side
    235.46x = 40,162.97
  5. Step 5: Solve for x
    x = 40,162.97/235.46
  6. Step 6: Final answer
    x = 170.57

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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.