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Finding the Fourth Proportional to 143.41, 214.92 and 111.25

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Solution

The fourth proportional to 143.41, 214.92 and 111.25 is: 166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.41 : 214.92 = 111.25 : x
  2. Step 2: Convert to fraction form
    143.41/214.92 = 111.25/x
  3. Step 3: Cross multiply
    143.41x = 214.92 × 111.25
  4. Step 4: Simplify right side
    143.41x = 23,909.29
  5. Step 5: Solve for x
    x = 23,909.29/143.41
  6. Step 6: Final answer
    x = 166.72

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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.