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Finding the Fourth Proportional to 551.41, 827.10 and 186.20

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Solution

The fourth proportional to 551.41, 827.10 and 186.20 is: 279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.41 : 827.10 = 186.20 : x
  2. Step 2: Convert to fraction form
    551.41/827.10 = 186.20/x
  3. Step 3: Cross multiply
    551.41x = 827.10 × 186.20
  4. Step 4: Simplify right side
    551.41x = 154,001.88
  5. Step 5: Solve for x
    x = 154,001.88/551.41
  6. Step 6: Final answer
    x = 279.29

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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.