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Finding the Fourth Proportional to 319.16, 478.82 and 113.76

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Solution

The fourth proportional to 319.16, 478.82 and 113.76 is: 170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.16 : 478.82 = 113.76 : x
  2. Step 2: Convert to fraction form
    319.16/478.82 = 113.76/x
  3. Step 3: Cross multiply
    319.16x = 478.82 × 113.76
  4. Step 4: Simplify right side
    319.16x = 54,470.56
  5. Step 5: Solve for x
    x = 54,470.56/319.16
  6. Step 6: Final answer
    x = 170.67

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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.