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Finding the Fourth Proportional to 231.99, 320.22 and 158.28

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Solution

The fourth proportional to 231.99, 320.22 and 158.28 is: 218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.99 : 320.22 = 158.28 : x
  2. Step 2: Convert to fraction form
    231.99/320.22 = 158.28/x
  3. Step 3: Cross multiply
    231.99x = 320.22 × 158.28
  4. Step 4: Simplify right side
    231.99x = 50,684.42
  5. Step 5: Solve for x
    x = 50,684.42/231.99
  6. Step 6: Final answer
    x = 218.48

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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.