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Finding the Fourth Proportional to 318.68, 478.23 and 136.08

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Solution

The fourth proportional to 318.68, 478.23 and 136.08 is: 204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.68 : 478.23 = 136.08 : x
  2. Step 2: Convert to fraction form
    318.68/478.23 = 136.08/x
  3. Step 3: Cross multiply
    318.68x = 478.23 × 136.08
  4. Step 4: Simplify right side
    318.68x = 65,077.54
  5. Step 5: Solve for x
    x = 65,077.54/318.68
  6. Step 6: Final answer
    x = 204.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.