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Finding the Fourth Proportional to 213.78, 294.99 and 120.52

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Solution

The fourth proportional to 213.78, 294.99 and 120.52 is: 166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.78 : 294.99 = 120.52 : x
  2. Step 2: Convert to fraction form
    213.78/294.99 = 120.52/x
  3. Step 3: Cross multiply
    213.78x = 294.99 × 120.52
  4. Step 4: Simplify right side
    213.78x = 35,551.46
  5. Step 5: Solve for x
    x = 35,551.46/213.78
  6. Step 6: Final answer
    x = 166.30

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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.