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Finding the Fourth Proportional to 550.23, 824.82 and 184.83

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Solution

The fourth proportional to 550.23, 824.82 and 184.83 is: 277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.23 : 824.82 = 184.83 : x
  2. Step 2: Convert to fraction form
    550.23/824.82 = 184.83/x
  3. Step 3: Cross multiply
    550.23x = 824.82 × 184.83
  4. Step 4: Simplify right side
    550.23x = 152,451.48
  5. Step 5: Solve for x
    x = 152,451.48/550.23
  6. Step 6: Final answer
    x = 277.07

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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.