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Finding the Fourth Proportional to 213.87, 295.18 and 120.61

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Solution

The fourth proportional to 213.87, 295.18 and 120.61 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.87 : 295.18 = 120.61 : x
  2. Step 2: Convert to fraction form
    213.87/295.18 = 120.61/x
  3. Step 3: Cross multiply
    213.87x = 295.18 × 120.61
  4. Step 4: Simplify right side
    213.87x = 35,601.06
  5. Step 5: Solve for x
    x = 35,601.06/213.87
  6. Step 6: Final answer
    x = 166.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.