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Finding the Fourth Proportional to 213.45, 294.56 and 120.19

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Solution

The fourth proportional to 213.45, 294.56 and 120.19 is: 165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.45 : 294.56 = 120.19 : x
  2. Step 2: Convert to fraction form
    213.45/294.56 = 120.19/x
  3. Step 3: Cross multiply
    213.45x = 294.56 × 120.19
  4. Step 4: Simplify right side
    213.45x = 35,403.17
  5. Step 5: Solve for x
    x = 35,403.17/213.45
  6. Step 6: Final answer
    x = 165.86

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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.