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Finding the Fourth Proportional to 150.82, 226.25 and 46.73

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Solution

The fourth proportional to 150.82, 226.25 and 46.73 is: 70.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 226.25 = 46.73 : x
  2. Step 2: Convert to fraction form
    150.82/226.25 = 46.73/x
  3. Step 3: Cross multiply
    150.82x = 226.25 × 46.73
  4. Step 4: Simplify right side
    150.82x = 10,572.15
  5. Step 5: Solve for x
    x = 10,572.15/150.82
  6. Step 6: Final answer
    x = 70.10

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Why These Related Problems?

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