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Finding the Fourth Proportional to 367.87, 551.27 and 230.52

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Solution

The fourth proportional to 367.87, 551.27 and 230.52 is: 345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.87 : 551.27 = 230.52 : x
  2. Step 2: Convert to fraction form
    367.87/551.27 = 230.52/x
  3. Step 3: Cross multiply
    367.87x = 551.27 × 230.52
  4. Step 4: Simplify right side
    367.87x = 127,077.61
  5. Step 5: Solve for x
    x = 127,077.61/367.87
  6. Step 6: Final answer
    x = 345.44

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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.