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Finding the Fourth Proportional to 551.53, 827.24 and 166.81

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Solution

The fourth proportional to 551.53, 827.24 and 166.81 is: 250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.53 : 827.24 = 166.81 : x
  2. Step 2: Convert to fraction form
    551.53/827.24 = 166.81/x
  3. Step 3: Cross multiply
    551.53x = 827.24 × 166.81
  4. Step 4: Simplify right side
    551.53x = 137,991.07
  5. Step 5: Solve for x
    x = 137,991.07/551.53
  6. Step 6: Final answer
    x = 250.20

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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.