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Finding the Fourth Proportional to 143.18, 214.43 and 140.27

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Solution

The fourth proportional to 143.18, 214.43 and 140.27 is: 210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.18 : 214.43 = 140.27 : x
  2. Step 2: Convert to fraction form
    143.18/214.43 = 140.27/x
  3. Step 3: Cross multiply
    143.18x = 214.43 × 140.27
  4. Step 4: Simplify right side
    143.18x = 30,077.93
  5. Step 5: Solve for x
    x = 30,077.93/143.18
  6. Step 6: Final answer
    x = 210.08

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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.