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Finding the Fourth Proportional to 318.81, 478.19 and 102.38

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Solution

The fourth proportional to 318.81, 478.19 and 102.38 is: 153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.81 : 478.19 = 102.38 : x
  2. Step 2: Convert to fraction form
    318.81/478.19 = 102.38/x
  3. Step 3: Cross multiply
    318.81x = 478.19 × 102.38
  4. Step 4: Simplify right side
    318.81x = 48,954.38
  5. Step 5: Solve for x
    x = 48,954.38/318.81
  6. Step 6: Final answer
    x = 153.55

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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.