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Finding the Fourth Proportional to 551.62, 827.19 and 186.31

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Solution

The fourth proportional to 551.62, 827.19 and 186.31 is: 279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.62 : 827.19 = 186.31 : x
  2. Step 2: Convert to fraction form
    551.62/827.19 = 186.31/x
  3. Step 3: Cross multiply
    551.62x = 827.19 × 186.31
  4. Step 4: Simplify right side
    551.62x = 154,113.77
  5. Step 5: Solve for x
    x = 154,113.77/551.62
  6. Step 6: Final answer
    x = 279.38

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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.