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Finding the Fourth Proportional to 551.45, 827.23 and 186.24

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Solution

The fourth proportional to 551.45, 827.23 and 186.24 is: 279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.45 : 827.23 = 186.24 : x
  2. Step 2: Convert to fraction form
    551.45/827.23 = 186.24/x
  3. Step 3: Cross multiply
    551.45x = 827.23 × 186.24
  4. Step 4: Simplify right side
    551.45x = 154,064.92
  5. Step 5: Solve for x
    x = 154,064.92/551.45
  6. Step 6: Final answer
    x = 279.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.