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Finding the Fourth Proportional to 550.72, 826.09 and 185.77

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Solution

The fourth proportional to 550.72, 826.09 and 185.77 is: 278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 826.09 = 185.77 : x
  2. Step 2: Convert to fraction form
    550.72/826.09 = 185.77/x
  3. Step 3: Cross multiply
    550.72x = 826.09 × 185.77
  4. Step 4: Simplify right side
    550.72x = 153,459.60
  5. Step 5: Solve for x
    x = 153,459.60/550.72
  6. Step 6: Final answer
    x = 278.65

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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.