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Finding the Fourth Proportional to 213.98, 295.29 and 126.65

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Solution

The fourth proportional to 213.98, 295.29 and 126.65 is: 174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.98 : 295.29 = 126.65 : x
  2. Step 2: Convert to fraction form
    213.98/295.29 = 126.65/x
  3. Step 3: Cross multiply
    213.98x = 295.29 × 126.65
  4. Step 4: Simplify right side
    213.98x = 37,398.48
  5. Step 5: Solve for x
    x = 37,398.48/213.98
  6. Step 6: Final answer
    x = 174.78

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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.