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Finding the Fourth Proportional to 143.66, 214.97 and 126.65

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Solution

The fourth proportional to 143.66, 214.97 and 126.65 is: 189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.66 : 214.97 = 126.65 : x
  2. Step 2: Convert to fraction form
    143.66/214.97 = 126.65/x
  3. Step 3: Cross multiply
    143.66x = 214.97 × 126.65
  4. Step 4: Simplify right side
    143.66x = 27,224.24
  5. Step 5: Solve for x
    x = 27,224.24/143.66
  6. Step 6: Final answer
    x = 189.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.