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Finding the Fourth Proportional to 212.43, 293.09 and 129.52

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Solution

The fourth proportional to 212.43, 293.09 and 129.52 is: 178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.43 : 293.09 = 129.52 : x
  2. Step 2: Convert to fraction form
    212.43/293.09 = 129.52/x
  3. Step 3: Cross multiply
    212.43x = 293.09 × 129.52
  4. Step 4: Simplify right side
    212.43x = 37,961.02
  5. Step 5: Solve for x
    x = 37,961.02/212.43
  6. Step 6: Final answer
    x = 178.70

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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.