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Finding the Fourth Proportional to 251.99, 377.83 and 98.05

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Solution

The fourth proportional to 251.99, 377.83 and 98.05 is: 147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.99 : 377.83 = 98.05 : x
  2. Step 2: Convert to fraction form
    251.99/377.83 = 98.05/x
  3. Step 3: Cross multiply
    251.99x = 377.83 × 98.05
  4. Step 4: Simplify right side
    251.99x = 37,046.23
  5. Step 5: Solve for x
    x = 37,046.23/251.99
  6. Step 6: Final answer
    x = 147.01

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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.