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Finding the Fourth Proportional to 213.44, 294.53 and 120.19

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Solution

The fourth proportional to 213.44, 294.53 and 120.19 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.44 : 294.53 = 120.19 : x
  2. Step 2: Convert to fraction form
    213.44/294.53 = 120.19/x
  3. Step 3: Cross multiply
    213.44x = 294.53 × 120.19
  4. Step 4: Simplify right side
    213.44x = 35,397.79
  5. Step 5: Solve for x
    x = 35,397.79/213.44
  6. Step 6: Final answer
    x = 165.84

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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.