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Finding the Fourth Proportional to 213.07, 294.05 and 119.82

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Solution

The fourth proportional to 213.07, 294.05 and 119.82 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.07 : 294.05 = 119.82 : x
  2. Step 2: Convert to fraction form
    213.07/294.05 = 119.82/x
  3. Step 3: Cross multiply
    213.07x = 294.05 × 119.82
  4. Step 4: Simplify right side
    213.07x = 35,233.07
  5. Step 5: Solve for x
    x = 35,233.07/213.07
  6. Step 6: Final answer
    x = 165.36

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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.