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Finding the Fourth Proportional to 367.82, 551.71 and 205.14

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Solution

The fourth proportional to 367.82, 551.71 and 205.14 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 551.71 = 205.14 : x
  2. Step 2: Convert to fraction form
    367.82/551.71 = 205.14/x
  3. Step 3: Cross multiply
    367.82x = 551.71 × 205.14
  4. Step 4: Simplify right side
    367.82x = 113,177.79
  5. Step 5: Solve for x
    x = 113,177.79/367.82
  6. Step 6: Final answer
    x = 307.70

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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.