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Finding the Fourth Proportional to 367.07, 550.65 and 123.56

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Solution

The fourth proportional to 367.07, 550.65 and 123.56 is: 185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.07 : 550.65 = 123.56 : x
  2. Step 2: Convert to fraction form
    367.07/550.65 = 123.56/x
  3. Step 3: Cross multiply
    367.07x = 550.65 × 123.56
  4. Step 4: Simplify right side
    367.07x = 68,038.31
  5. Step 5: Solve for x
    x = 68,038.31/367.07
  6. Step 6: Final answer
    x = 185.36

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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.