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Finding the Fourth Proportional to 312.25, 468.33 and 129.59

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Solution

The fourth proportional to 312.25, 468.33 and 129.59 is: 194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 468.33 = 129.59 : x
  2. Step 2: Convert to fraction form
    312.25/468.33 = 129.59/x
  3. Step 3: Cross multiply
    312.25x = 468.33 × 129.59
  4. Step 4: Simplify right side
    312.25x = 60,690.88
  5. Step 5: Solve for x
    x = 60,690.88/312.25
  6. Step 6: Final answer
    x = 194.37

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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.