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Finding the Fourth Proportional to 551.87, 827.50 and 186.53

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Solution

The fourth proportional to 551.87, 827.50 and 186.53 is: 279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.87 : 827.50 = 186.53 : x
  2. Step 2: Convert to fraction form
    551.87/827.50 = 186.53/x
  3. Step 3: Cross multiply
    551.87x = 827.50 × 186.53
  4. Step 4: Simplify right side
    551.87x = 154,353.58
  5. Step 5: Solve for x
    x = 154,353.58/551.87
  6. Step 6: Final answer
    x = 279.69

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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.