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Finding the Fourth Proportional to 367.83, 550.82 and 265.20

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Solution

The fourth proportional to 367.83, 550.82 and 265.20 is: 397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.83 : 550.82 = 265.20 : x
  2. Step 2: Convert to fraction form
    367.83/550.82 = 265.20/x
  3. Step 3: Cross multiply
    367.83x = 550.82 × 265.20
  4. Step 4: Simplify right side
    367.83x = 146,076.14
  5. Step 5: Solve for x
    x = 146,076.14/367.83
  6. Step 6: Final answer
    x = 397.13

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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.