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Finding the Fourth Proportional to 198.84, 296.71 and 178.41

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Solution

The fourth proportional to 198.84, 296.71 and 178.41 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 296.71 = 178.41 : x
  2. Step 2: Convert to fraction form
    198.84/296.71 = 178.41/x
  3. Step 3: Cross multiply
    198.84x = 296.71 × 178.41
  4. Step 4: Simplify right side
    198.84x = 52,936.48
  5. Step 5: Solve for x
    x = 52,936.48/198.84
  6. Step 6: Final answer
    x = 266.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.