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Finding the Fourth Proportional to 301.96, 415.98 and 249.28

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Solution

The fourth proportional to 301.96, 415.98 and 249.28 is: 343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 415.98 = 249.28 : x
  2. Step 2: Convert to fraction form
    301.96/415.98 = 249.28/x
  3. Step 3: Cross multiply
    301.96x = 415.98 × 249.28
  4. Step 4: Simplify right side
    301.96x = 103,695.49
  5. Step 5: Solve for x
    x = 103,695.49/301.96
  6. Step 6: Final answer
    x = 343.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.