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Finding the Fourth Proportional to 272.45, 408.81 and 150.77

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Solution

The fourth proportional to 272.45, 408.81 and 150.77 is: 226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.45 : 408.81 = 150.77 : x
  2. Step 2: Convert to fraction form
    272.45/408.81 = 150.77/x
  3. Step 3: Cross multiply
    272.45x = 408.81 × 150.77
  4. Step 4: Simplify right side
    272.45x = 61,634.24
  5. Step 5: Solve for x
    x = 61,634.24/272.45
  6. Step 6: Final answer
    x = 226.23

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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.