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Finding the Fourth Proportional to 231.82, 320 and 158.18

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Solution

The fourth proportional to 231.82, 320 and 158.18 is: 218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.82 : 320 = 158.18 : x
  2. Step 2: Convert to fraction form
    231.82/320 = 158.18/x
  3. Step 3: Cross multiply
    231.82x = 320 × 158.18
  4. Step 4: Simplify right side
    231.82x = 50,617.60
  5. Step 5: Solve for x
    x = 50,617.60/231.82
  6. Step 6: Final answer
    x = 218.35

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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.