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Finding the Fourth Proportional to 296.70, 444.84 and 199.08

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Solution

The fourth proportional to 296.70, 444.84 and 199.08 is: 298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 444.84 = 199.08 : x
  2. Step 2: Convert to fraction form
    296.70/444.84 = 199.08/x
  3. Step 3: Cross multiply
    296.70x = 444.84 × 199.08
  4. Step 4: Simplify right side
    296.70x = 88,558.75
  5. Step 5: Solve for x
    x = 88,558.75/296.70
  6. Step 6: Final answer
    x = 298.48

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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.