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Finding the Fourth Proportional to 150.82, 226.27 and 48.12

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Solution

The fourth proportional to 150.82, 226.27 and 48.12 is: 72.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 226.27 = 48.12 : x
  2. Step 2: Convert to fraction form
    150.82/226.27 = 48.12/x
  3. Step 3: Cross multiply
    150.82x = 226.27 × 48.12
  4. Step 4: Simplify right side
    150.82x = 10,888.11
  5. Step 5: Solve for x
    x = 10,888.11/150.82
  6. Step 6: Final answer
    x = 72.19

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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.