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Finding the Fourth Proportional to 266.78, 368.31 and 196.78

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Solution

The fourth proportional to 266.78, 368.31 and 196.78 is: 271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 368.31 = 196.78 : x
  2. Step 2: Convert to fraction form
    266.78/368.31 = 196.78/x
  3. Step 3: Cross multiply
    266.78x = 368.31 × 196.78
  4. Step 4: Simplify right side
    266.78x = 72,476.04
  5. Step 5: Solve for x
    x = 72,476.04/266.78
  6. Step 6: Final answer
    x = 271.67

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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.