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Finding the Fourth Proportional to 298.98, 447.84 and 250.11

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Solution

The fourth proportional to 298.98, 447.84 and 250.11 is: 374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 447.84 = 250.11 : x
  2. Step 2: Convert to fraction form
    298.98/447.84 = 250.11/x
  3. Step 3: Cross multiply
    298.98x = 447.84 × 250.11
  4. Step 4: Simplify right side
    298.98x = 112,009.26
  5. Step 5: Solve for x
    x = 112,009.26/298.98
  6. Step 6: Final answer
    x = 374.64

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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.