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Finding the Fourth Proportional to 318.83, 478.32 and 102.41

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Solution

The fourth proportional to 318.83, 478.32 and 102.41 is: 153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.83 : 478.32 = 102.41 : x
  2. Step 2: Convert to fraction form
    318.83/478.32 = 102.41/x
  3. Step 3: Cross multiply
    318.83x = 478.32 × 102.41
  4. Step 4: Simplify right side
    318.83x = 48,984.75
  5. Step 5: Solve for x
    x = 48,984.75/318.83
  6. Step 6: Final answer
    x = 153.64

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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.