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Finding the Fourth Proportional to 212.80, 293.69 and 129.96

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Solution

The fourth proportional to 212.80, 293.69 and 129.96 is: 179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.80 : 293.69 = 129.96 : x
  2. Step 2: Convert to fraction form
    212.80/293.69 = 129.96/x
  3. Step 3: Cross multiply
    212.80x = 293.69 × 129.96
  4. Step 4: Simplify right side
    212.80x = 38,167.95
  5. Step 5: Solve for x
    x = 38,167.95/212.80
  6. Step 6: Final answer
    x = 179.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.