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Finding the Fourth Proportional to 266.56, 367.65 and 193.12

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Solution

The fourth proportional to 266.56, 367.65 and 193.12 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.56 : 367.65 = 193.12 : x
  2. Step 2: Convert to fraction form
    266.56/367.65 = 193.12/x
  3. Step 3: Cross multiply
    266.56x = 367.65 × 193.12
  4. Step 4: Simplify right side
    266.56x = 71,000.57
  5. Step 5: Solve for x
    x = 71,000.57/266.56
  6. Step 6: Final answer
    x = 266.36

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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.