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Finding the Fourth Proportional to 212.52, 293.26 and 120.52

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Solution

The fourth proportional to 212.52, 293.26 and 120.52 is: 166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.52 : 293.26 = 120.52 : x
  2. Step 2: Convert to fraction form
    212.52/293.26 = 120.52/x
  3. Step 3: Cross multiply
    212.52x = 293.26 × 120.52
  4. Step 4: Simplify right side
    212.52x = 35,343.70
  5. Step 5: Solve for x
    x = 35,343.70/212.52
  6. Step 6: Final answer
    x = 166.31

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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.