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Finding the Fourth Proportional to 367.14, 551.10 and 205.14

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Solution

The fourth proportional to 367.14, 551.10 and 205.14 is: 307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.14 : 551.10 = 205.14 : x
  2. Step 2: Convert to fraction form
    367.14/551.10 = 205.14/x
  3. Step 3: Cross multiply
    367.14x = 551.10 × 205.14
  4. Step 4: Simplify right side
    367.14x = 113,052.65
  5. Step 5: Solve for x
    x = 113,052.65/367.14
  6. Step 6: Final answer
    x = 307.93

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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.