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Finding the Fourth Proportional to 266.14, 367.23 and 149.68

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Solution

The fourth proportional to 266.14, 367.23 and 149.68 is: 206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.14 : 367.23 = 149.68 : x
  2. Step 2: Convert to fraction form
    266.14/367.23 = 149.68/x
  3. Step 3: Cross multiply
    266.14x = 367.23 × 149.68
  4. Step 4: Simplify right side
    266.14x = 54,966.99
  5. Step 5: Solve for x
    x = 54,966.99/266.14
  6. Step 6: Final answer
    x = 206.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.