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Finding the Fourth Proportional to 551.32, 827.02 and 166.52

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Solution

The fourth proportional to 551.32, 827.02 and 166.52 is: 249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.32 : 827.02 = 166.52 : x
  2. Step 2: Convert to fraction form
    551.32/827.02 = 166.52/x
  3. Step 3: Cross multiply
    551.32x = 827.02 × 166.52
  4. Step 4: Simplify right side
    551.32x = 137,715.37
  5. Step 5: Solve for x
    x = 137,715.37/551.32
  6. Step 6: Final answer
    x = 249.79

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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.