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Finding the Fourth Proportional to 184.45, 254.48 and 105.76

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Solution

The fourth proportional to 184.45, 254.48 and 105.76 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.45 : 254.48 = 105.76 : x
  2. Step 2: Convert to fraction form
    184.45/254.48 = 105.76/x
  3. Step 3: Cross multiply
    184.45x = 254.48 × 105.76
  4. Step 4: Simplify right side
    184.45x = 26,912.00
  5. Step 5: Solve for x
    x = 26,912.00/184.45
  6. Step 6: Final answer
    x = 145.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.