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Finding the Fourth Proportional to 318.97, 478.46 and 102.57

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Solution

The fourth proportional to 318.97, 478.46 and 102.57 is: 153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.97 : 478.46 = 102.57 : x
  2. Step 2: Convert to fraction form
    318.97/478.46 = 102.57/x
  3. Step 3: Cross multiply
    318.97x = 478.46 × 102.57
  4. Step 4: Simplify right side
    318.97x = 49,072.74
  5. Step 5: Solve for x
    x = 49,072.74/318.97
  6. Step 6: Final answer
    x = 153.85

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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.