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Finding the Fourth Proportional to 232.22, 319.96 and 199.02

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Solution

The fourth proportional to 232.22, 319.96 and 199.02 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.22 : 319.96 = 199.02 : x
  2. Step 2: Convert to fraction form
    232.22/319.96 = 199.02/x
  3. Step 3: Cross multiply
    232.22x = 319.96 × 199.02
  4. Step 4: Simplify right side
    232.22x = 63,678.44
  5. Step 5: Solve for x
    x = 63,678.44/232.22
  6. Step 6: Final answer
    x = 274.22

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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.