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Finding the Fourth Proportional to 298.11, 447.25 and 103.14

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Solution

The fourth proportional to 298.11, 447.25 and 103.14 is: 154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.11 : 447.25 = 103.14 : x
  2. Step 2: Convert to fraction form
    298.11/447.25 = 103.14/x
  3. Step 3: Cross multiply
    298.11x = 447.25 × 103.14
  4. Step 4: Simplify right side
    298.11x = 46,129.37
  5. Step 5: Solve for x
    x = 46,129.37/298.11
  6. Step 6: Final answer
    x = 154.74

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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.