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Finding the Fourth Proportional to 213.80, 295.02 and 120.56

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Solution

The fourth proportional to 213.80, 295.02 and 120.56 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.80 : 295.02 = 120.56 : x
  2. Step 2: Convert to fraction form
    213.80/295.02 = 120.56/x
  3. Step 3: Cross multiply
    213.80x = 295.02 × 120.56
  4. Step 4: Simplify right side
    213.80x = 35,566.14
  5. Step 5: Solve for x
    x = 35,566.14/213.80
  6. Step 6: Final answer
    x = 166.36

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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.