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Finding the Fourth Proportional to 550.19, 825.33 and 184.88

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Solution

The fourth proportional to 550.19, 825.33 and 184.88 is: 277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.19 : 825.33 = 184.88 : x
  2. Step 2: Convert to fraction form
    550.19/825.33 = 184.88/x
  3. Step 3: Cross multiply
    550.19x = 825.33 × 184.88
  4. Step 4: Simplify right side
    550.19x = 152,587.01
  5. Step 5: Solve for x
    x = 152,587.01/550.19
  6. Step 6: Final answer
    x = 277.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.