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Finding the Fourth Proportional to 318.68, 478.10 and 164.56

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Solution

The fourth proportional to 318.68, 478.10 and 164.56 is: 246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.68 : 478.10 = 164.56 : x
  2. Step 2: Convert to fraction form
    318.68/478.10 = 164.56/x
  3. Step 3: Cross multiply
    318.68x = 478.10 × 164.56
  4. Step 4: Simplify right side
    318.68x = 78,676.14
  5. Step 5: Solve for x
    x = 78,676.14/318.68
  6. Step 6: Final answer
    x = 246.88

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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.