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Finding the Fourth Proportional to 298.82, 448.26 and 154.57

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Solution

The fourth proportional to 298.82, 448.26 and 154.57 is: 231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 448.26 = 154.57 : x
  2. Step 2: Convert to fraction form
    298.82/448.26 = 154.57/x
  3. Step 3: Cross multiply
    298.82x = 448.26 × 154.57
  4. Step 4: Simplify right side
    298.82x = 69,287.55
  5. Step 5: Solve for x
    x = 69,287.55/298.82
  6. Step 6: Final answer
    x = 231.87

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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.