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Finding the Fourth Proportional to 213.97, 294.96 and 174.82

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Solution

The fourth proportional to 213.97, 294.96 and 174.82 is: 240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.97 : 294.96 = 174.82 : x
  2. Step 2: Convert to fraction form
    213.97/294.96 = 174.82/x
  3. Step 3: Cross multiply
    213.97x = 294.96 × 174.82
  4. Step 4: Simplify right side
    213.97x = 51,564.91
  5. Step 5: Solve for x
    x = 51,564.91/213.97
  6. Step 6: Final answer
    x = 240.99

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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.