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Finding the Fourth Proportional to 212.49, 293.16 and 129.57

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Solution

The fourth proportional to 212.49, 293.16 and 129.57 is: 178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.49 : 293.16 = 129.57 : x
  2. Step 2: Convert to fraction form
    212.49/293.16 = 129.57/x
  3. Step 3: Cross multiply
    212.49x = 293.16 × 129.57
  4. Step 4: Simplify right side
    212.49x = 37,984.74
  5. Step 5: Solve for x
    x = 37,984.74/212.49
  6. Step 6: Final answer
    x = 178.76

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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.