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Finding the Fourth Proportional to 232.28, 319.81 and 197.23

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Solution

The fourth proportional to 232.28, 319.81 and 197.23 is: 271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.28 : 319.81 = 197.23 : x
  2. Step 2: Convert to fraction form
    232.28/319.81 = 197.23/x
  3. Step 3: Cross multiply
    232.28x = 319.81 × 197.23
  4. Step 4: Simplify right side
    232.28x = 63,075.14
  5. Step 5: Solve for x
    x = 63,075.14/232.28
  6. Step 6: Final answer
    x = 271.55

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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.