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Finding the Fourth Proportional to 213.65, 294.81 and 126.35

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Solution

The fourth proportional to 213.65, 294.81 and 126.35 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.65 : 294.81 = 126.35 : x
  2. Step 2: Convert to fraction form
    213.65/294.81 = 126.35/x
  3. Step 3: Cross multiply
    213.65x = 294.81 × 126.35
  4. Step 4: Simplify right side
    213.65x = 37,249.24
  5. Step 5: Solve for x
    x = 37,249.24/213.65
  6. Step 6: Final answer
    x = 174.35

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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.