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Finding the Fourth Proportional to 266.52, 367.74 and 150.06

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Solution

The fourth proportional to 266.52, 367.74 and 150.06 is: 207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.52 : 367.74 = 150.06 : x
  2. Step 2: Convert to fraction form
    266.52/367.74 = 150.06/x
  3. Step 3: Cross multiply
    266.52x = 367.74 × 150.06
  4. Step 4: Simplify right side
    266.52x = 55,183.06
  5. Step 5: Solve for x
    x = 55,183.06/266.52
  6. Step 6: Final answer
    x = 207.05

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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.