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Finding the Fourth Proportional to 266.67, 367.83 and 178.02

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Solution

The fourth proportional to 266.67, 367.83 and 178.02 is: 245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.67 : 367.83 = 178.02 : x
  2. Step 2: Convert to fraction form
    266.67/367.83 = 178.02/x
  3. Step 3: Cross multiply
    266.67x = 367.83 × 178.02
  4. Step 4: Simplify right side
    266.67x = 65,481.10
  5. Step 5: Solve for x
    x = 65,481.10/266.67
  6. Step 6: Final answer
    x = 245.55

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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.