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Finding the Fourth Proportional to 551.72, 827.66 and 205.09

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Solution

The fourth proportional to 551.72, 827.66 and 205.09 is: 307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.72 : 827.66 = 205.09 : x
  2. Step 2: Convert to fraction form
    551.72/827.66 = 205.09/x
  3. Step 3: Cross multiply
    551.72x = 827.66 × 205.09
  4. Step 4: Simplify right side
    551.72x = 169,743.23
  5. Step 5: Solve for x
    x = 169,743.23/551.72
  6. Step 6: Final answer
    x = 307.66

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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.