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Finding the Fourth Proportional to 551.11, 826.74 and 185.83

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Solution

The fourth proportional to 551.11, 826.74 and 185.83 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.11 : 826.74 = 185.83 : x
  2. Step 2: Convert to fraction form
    551.11/826.74 = 185.83/x
  3. Step 3: Cross multiply
    551.11x = 826.74 × 185.83
  4. Step 4: Simplify right side
    551.11x = 153,633.09
  5. Step 5: Solve for x
    x = 153,633.09/551.11
  6. Step 6: Final answer
    x = 278.77

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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.