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Finding the Fourth Proportional to 213.41, 294.50 and 120.15

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Solution

The fourth proportional to 213.41, 294.50 and 120.15 is: 165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.41 : 294.50 = 120.15 : x
  2. Step 2: Convert to fraction form
    213.41/294.50 = 120.15/x
  3. Step 3: Cross multiply
    213.41x = 294.50 × 120.15
  4. Step 4: Simplify right side
    213.41x = 35,382.70
  5. Step 5: Solve for x
    x = 35,382.70/213.41
  6. Step 6: Final answer
    x = 165.80

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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.