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Finding the Fourth Proportional to 266.06, 367.27 and 178.99

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Solution

The fourth proportional to 266.06, 367.27 and 178.99 is: 247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 367.27 = 178.99 : x
  2. Step 2: Convert to fraction form
    266.06/367.27 = 178.99/x
  3. Step 3: Cross multiply
    266.06x = 367.27 × 178.99
  4. Step 4: Simplify right side
    266.06x = 65,736.29
  5. Step 5: Solve for x
    x = 65,736.29/266.06
  6. Step 6: Final answer
    x = 247.07

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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.