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Finding the Fourth Proportional to 318.96, 478.39 and 113.50

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Solution

The fourth proportional to 318.96, 478.39 and 113.50 is: 170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.96 : 478.39 = 113.50 : x
  2. Step 2: Convert to fraction form
    318.96/478.39 = 113.50/x
  3. Step 3: Cross multiply
    318.96x = 478.39 × 113.50
  4. Step 4: Simplify right side
    318.96x = 54,295.79
  5. Step 5: Solve for x
    x = 54,295.79/318.96
  6. Step 6: Final answer
    x = 170.23

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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.