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Finding the Fourth Proportional to 266.27, 399.58 and 150.95

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Solution

The fourth proportional to 266.27, 399.58 and 150.95 is: 226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.27 : 399.58 = 150.95 : x
  2. Step 2: Convert to fraction form
    266.27/399.58 = 150.95/x
  3. Step 3: Cross multiply
    266.27x = 399.58 × 150.95
  4. Step 4: Simplify right side
    266.27x = 60,315.82
  5. Step 5: Solve for x
    x = 60,315.82/266.27
  6. Step 6: Final answer
    x = 226.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.