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Finding the Fourth Proportional to 184.06, 276.49 and 135.46

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Solution

The fourth proportional to 184.06, 276.49 and 135.46 is: 203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.06 : 276.49 = 135.46 : x
  2. Step 2: Convert to fraction form
    184.06/276.49 = 135.46/x
  3. Step 3: Cross multiply
    184.06x = 276.49 × 135.46
  4. Step 4: Simplify right side
    184.06x = 37,453.34
  5. Step 5: Solve for x
    x = 37,453.34/184.06
  6. Step 6: Final answer
    x = 203.48

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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.