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Finding the Fourth Proportional to 231.98, 320.18 and 158.39

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Solution

The fourth proportional to 231.98, 320.18 and 158.39 is: 218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.98 : 320.18 = 158.39 : x
  2. Step 2: Convert to fraction form
    231.98/320.18 = 158.39/x
  3. Step 3: Cross multiply
    231.98x = 320.18 × 158.39
  4. Step 4: Simplify right side
    231.98x = 50,710.92
  5. Step 5: Solve for x
    x = 50,710.92/231.98
  6. Step 6: Final answer
    x = 218.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.