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Finding the Fourth Proportional to 551.66, 827.93 and 205.23

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Solution

The fourth proportional to 551.66, 827.93 and 205.23 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.66 : 827.93 = 205.23 : x
  2. Step 2: Convert to fraction form
    551.66/827.93 = 205.23/x
  3. Step 3: Cross multiply
    551.66x = 827.93 × 205.23
  4. Step 4: Simplify right side
    551.66x = 169,915.05
  5. Step 5: Solve for x
    x = 169,915.05/551.66
  6. Step 6: Final answer
    x = 308.01

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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.