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Finding the Fourth Proportional to 367.25, 551.13 and 150.83

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Solution

The fourth proportional to 367.25, 551.13 and 150.83 is: 226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.25 : 551.13 = 150.83 : x
  2. Step 2: Convert to fraction form
    367.25/551.13 = 150.83/x
  3. Step 3: Cross multiply
    367.25x = 551.13 × 150.83
  4. Step 4: Simplify right side
    367.25x = 83,123.43
  5. Step 5: Solve for x
    x = 83,123.43/367.25
  6. Step 6: Final answer
    x = 226.34

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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.