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Finding the Fourth Proportional to 318.57, 478.29 and 196.44

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Solution

The fourth proportional to 318.57, 478.29 and 196.44 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.57 : 478.29 = 196.44 : x
  2. Step 2: Convert to fraction form
    318.57/478.29 = 196.44/x
  3. Step 3: Cross multiply
    318.57x = 478.29 × 196.44
  4. Step 4: Simplify right side
    318.57x = 93,955.29
  5. Step 5: Solve for x
    x = 93,955.29/318.57
  6. Step 6: Final answer
    x = 294.93

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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.