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Finding the Fourth Proportional to 184.99, 277.49 and 112.36

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Solution

The fourth proportional to 184.99, 277.49 and 112.36 is: 168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.99 : 277.49 = 112.36 : x
  2. Step 2: Convert to fraction form
    184.99/277.49 = 112.36/x
  3. Step 3: Cross multiply
    184.99x = 277.49 × 112.36
  4. Step 4: Simplify right side
    184.99x = 31,178.78
  5. Step 5: Solve for x
    x = 31,178.78/184.99
  6. Step 6: Final answer
    x = 168.54

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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.