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Finding the Fourth Proportional to 213.54, 294.69 and 120.28

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Solution

The fourth proportional to 213.54, 294.69 and 120.28 is: 165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.54 : 294.69 = 120.28 : x
  2. Step 2: Convert to fraction form
    213.54/294.69 = 120.28/x
  3. Step 3: Cross multiply
    213.54x = 294.69 × 120.28
  4. Step 4: Simplify right side
    213.54x = 35,446.39
  5. Step 5: Solve for x
    x = 35,446.39/213.54
  6. Step 6: Final answer
    x = 165.99

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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.