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Finding the Fourth Proportional to 143.26, 214.79 and 88.43

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Solution

The fourth proportional to 143.26, 214.79 and 88.43 is: 132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.26 : 214.79 = 88.43 : x
  2. Step 2: Convert to fraction form
    143.26/214.79 = 88.43/x
  3. Step 3: Cross multiply
    143.26x = 214.79 × 88.43
  4. Step 4: Simplify right side
    143.26x = 18,992.36
  5. Step 5: Solve for x
    x = 18,992.36/143.26
  6. Step 6: Final answer
    x = 132.58

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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.