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Finding the Fourth Proportional to 213.74, 294.94 and 120.46

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Solution

The fourth proportional to 213.74, 294.94 and 120.46 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.74 : 294.94 = 120.46 : x
  2. Step 2: Convert to fraction form
    213.74/294.94 = 120.46/x
  3. Step 3: Cross multiply
    213.74x = 294.94 × 120.46
  4. Step 4: Simplify right side
    213.74x = 35,528.47
  5. Step 5: Solve for x
    x = 35,528.47/213.74
  6. Step 6: Final answer
    x = 166.22

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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.