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Finding the Fourth Proportional to 143.91, 216.77 and 142.02

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Solution

The fourth proportional to 143.91, 216.77 and 142.02 is: 213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.91 : 216.77 = 142.02 : x
  2. Step 2: Convert to fraction form
    143.91/216.77 = 142.02/x
  3. Step 3: Cross multiply
    143.91x = 216.77 × 142.02
  4. Step 4: Simplify right side
    143.91x = 30,786.03
  5. Step 5: Solve for x
    x = 30,786.03/143.91
  6. Step 6: Final answer
    x = 213.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.