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Finding the Fourth Proportional to 199.82, 275.69 and 158.24

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Solution

The fourth proportional to 199.82, 275.69 and 158.24 is: 218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.82 : 275.69 = 158.24 : x
  2. Step 2: Convert to fraction form
    199.82/275.69 = 158.24/x
  3. Step 3: Cross multiply
    199.82x = 275.69 × 158.24
  4. Step 4: Simplify right side
    199.82x = 43,626.27
  5. Step 5: Solve for x
    x = 43,626.27/199.82
  6. Step 6: Final answer
    x = 218.33

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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.