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Finding the Fourth Proportional to 318.50, 478.09 and 135.98

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Solution

The fourth proportional to 318.50, 478.09 and 135.98 is: 204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.50 : 478.09 = 135.98 : x
  2. Step 2: Convert to fraction form
    318.50/478.09 = 135.98/x
  3. Step 3: Cross multiply
    318.50x = 478.09 × 135.98
  4. Step 4: Simplify right side
    318.50x = 65,010.68
  5. Step 5: Solve for x
    x = 65,010.68/318.50
  6. Step 6: Final answer
    x = 204.12

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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.