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Finding the Fourth Proportional to 318.76, 478.14 and 205.48

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Solution

The fourth proportional to 318.76, 478.14 and 205.48 is: 308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.76 : 478.14 = 205.48 : x
  2. Step 2: Convert to fraction form
    318.76/478.14 = 205.48/x
  3. Step 3: Cross multiply
    318.76x = 478.14 × 205.48
  4. Step 4: Simplify right side
    318.76x = 98,248.21
  5. Step 5: Solve for x
    x = 98,248.21/318.76
  6. Step 6: Final answer
    x = 308.22

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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.