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Finding the Fourth Proportional to 274.08, 409.89 and 205.65

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Solution

The fourth proportional to 274.08, 409.89 and 205.65 is: 307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.08 : 409.89 = 205.65 : x
  2. Step 2: Convert to fraction form
    274.08/409.89 = 205.65/x
  3. Step 3: Cross multiply
    274.08x = 409.89 × 205.65
  4. Step 4: Simplify right side
    274.08x = 84,293.88
  5. Step 5: Solve for x
    x = 84,293.88/274.08
  6. Step 6: Final answer
    x = 307.55

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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.