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Finding the Fourth Proportional to 266.44, 367.68 and 150.00

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Solution

The fourth proportional to 266.44, 367.68 and 150.00 is: 206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.44 : 367.68 = 150.00 : x
  2. Step 2: Convert to fraction form
    266.44/367.68 = 150.00/x
  3. Step 3: Cross multiply
    266.44x = 367.68 × 150.00
  4. Step 4: Simplify right side
    266.44x = 55,149.41
  5. Step 5: Solve for x
    x = 55,149.41/266.44
  6. Step 6: Final answer
    x = 206.99

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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.