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Finding the Fourth Proportional to 184.68, 277.08 and 133.56

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Solution

The fourth proportional to 184.68, 277.08 and 133.56 is: 200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.68 : 277.08 = 133.56 : x
  2. Step 2: Convert to fraction form
    184.68/277.08 = 133.56/x
  3. Step 3: Cross multiply
    184.68x = 277.08 × 133.56
  4. Step 4: Simplify right side
    184.68x = 37,006.80
  5. Step 5: Solve for x
    x = 37,006.80/184.68
  6. Step 6: Final answer
    x = 200.38

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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.