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Finding the Fourth Proportional to 312.44, 468.68 and 129.78

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Solution

The fourth proportional to 312.44, 468.68 and 129.78 is: 194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.44 : 468.68 = 129.78 : x
  2. Step 2: Convert to fraction form
    312.44/468.68 = 129.78/x
  3. Step 3: Cross multiply
    312.44x = 468.68 × 129.78
  4. Step 4: Simplify right side
    312.44x = 60,825.29
  5. Step 5: Solve for x
    x = 60,825.29/312.44
  6. Step 6: Final answer
    x = 194.68

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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.