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Finding the Fourth Proportional to 551.56, 827.66 and 205.13

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Solution

The fourth proportional to 551.56, 827.66 and 205.13 is: 307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.56 : 827.66 = 205.13 : x
  2. Step 2: Convert to fraction form
    551.56/827.66 = 205.13/x
  3. Step 3: Cross multiply
    551.56x = 827.66 × 205.13
  4. Step 4: Simplify right side
    551.56x = 169,772.73
  5. Step 5: Solve for x
    x = 169,772.73/551.56
  6. Step 6: Final answer
    x = 307.81

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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.