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Finding the Fourth Proportional to 551.12, 827.09 and 204.66

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Solution

The fourth proportional to 551.12, 827.09 and 204.66 is: 307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.12 : 827.09 = 204.66 : x
  2. Step 2: Convert to fraction form
    551.12/827.09 = 204.66/x
  3. Step 3: Cross multiply
    551.12x = 827.09 × 204.66
  4. Step 4: Simplify right side
    551.12x = 169,271.22
  5. Step 5: Solve for x
    x = 169,271.22/551.12
  6. Step 6: Final answer
    x = 307.14

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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.