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Finding the Fourth Proportional to 367.82, 551.82 and 124.36

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Solution

The fourth proportional to 367.82, 551.82 and 124.36 is: 186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 551.82 = 124.36 : x
  2. Step 2: Convert to fraction form
    367.82/551.82 = 124.36/x
  3. Step 3: Cross multiply
    367.82x = 551.82 × 124.36
  4. Step 4: Simplify right side
    367.82x = 68,624.34
  5. Step 5: Solve for x
    x = 68,624.34/367.82
  6. Step 6: Final answer
    x = 186.57

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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.