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Finding the Fourth Proportional to 249.95, 374.94 and 120.06

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Solution

The fourth proportional to 249.95, 374.94 and 120.06 is: 180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.95 : 374.94 = 120.06 : x
  2. Step 2: Convert to fraction form
    249.95/374.94 = 120.06/x
  3. Step 3: Cross multiply
    249.95x = 374.94 × 120.06
  4. Step 4: Simplify right side
    249.95x = 45,016.78
  5. Step 5: Solve for x
    x = 45,016.78/249.95
  6. Step 6: Final answer
    x = 180.10

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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.