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Finding the Fourth Proportional to 213.67, 294.98 and 199.74

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Solution

The fourth proportional to 213.67, 294.98 and 199.74 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.67 : 294.98 = 199.74 : x
  2. Step 2: Convert to fraction form
    213.67/294.98 = 199.74/x
  3. Step 3: Cross multiply
    213.67x = 294.98 × 199.74
  4. Step 4: Simplify right side
    213.67x = 58,918.31
  5. Step 5: Solve for x
    x = 58,918.31/213.67
  6. Step 6: Final answer
    x = 275.75

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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.