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Finding the Fourth Proportional to 550.14, 824.95 and 184.83

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Solution

The fourth proportional to 550.14, 824.95 and 184.83 is: 277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.14 : 824.95 = 184.83 : x
  2. Step 2: Convert to fraction form
    550.14/824.95 = 184.83/x
  3. Step 3: Cross multiply
    550.14x = 824.95 × 184.83
  4. Step 4: Simplify right side
    550.14x = 152,475.51
  5. Step 5: Solve for x
    x = 152,475.51/550.14
  6. Step 6: Final answer
    x = 277.16

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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.