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Finding the Fourth Proportional to 212.32, 293.03 and 179.56

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Solution

The fourth proportional to 212.32, 293.03 and 179.56 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.32 : 293.03 = 179.56 : x
  2. Step 2: Convert to fraction form
    212.32/293.03 = 179.56/x
  3. Step 3: Cross multiply
    212.32x = 293.03 × 179.56
  4. Step 4: Simplify right side
    212.32x = 52,616.47
  5. Step 5: Solve for x
    x = 52,616.47/212.32
  6. Step 6: Final answer
    x = 247.82

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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.