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Finding the Fourth Proportional to 551.08, 826.58 and 166.28

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Solution

The fourth proportional to 551.08, 826.58 and 166.28 is: 249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.08 : 826.58 = 166.28 : x
  2. Step 2: Convert to fraction form
    551.08/826.58 = 166.28/x
  3. Step 3: Cross multiply
    551.08x = 826.58 × 166.28
  4. Step 4: Simplify right side
    551.08x = 137,443.72
  5. Step 5: Solve for x
    x = 137,443.72/551.08
  6. Step 6: Final answer
    x = 249.41

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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.