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Finding the Fourth Proportional to 213.62, 294.76 and 120.34

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Solution

The fourth proportional to 213.62, 294.76 and 120.34 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.62 : 294.76 = 120.34 : x
  2. Step 2: Convert to fraction form
    213.62/294.76 = 120.34/x
  3. Step 3: Cross multiply
    213.62x = 294.76 × 120.34
  4. Step 4: Simplify right side
    213.62x = 35,470.16
  5. Step 5: Solve for x
    x = 35,470.16/213.62
  6. Step 6: Final answer
    x = 166.05

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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.