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Finding the Fourth Proportional to 312.12, 468 and 129.65

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Solution

The fourth proportional to 312.12, 468 and 129.65 is: 194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.12 : 468 = 129.65 : x
  2. Step 2: Convert to fraction form
    312.12/468 = 129.65/x
  3. Step 3: Cross multiply
    312.12x = 468 × 129.65
  4. Step 4: Simplify right side
    312.12x = 60,673.86
  5. Step 5: Solve for x
    x = 60,673.86/312.12
  6. Step 6: Final answer
    x = 194.39

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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.