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Finding the Fourth Proportional to 301.05, 415.63 and 196.32

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Solution

The fourth proportional to 301.05, 415.63 and 196.32 is: 271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.05 : 415.63 = 196.32 : x
  2. Step 2: Convert to fraction form
    301.05/415.63 = 196.32/x
  3. Step 3: Cross multiply
    301.05x = 415.63 × 196.32
  4. Step 4: Simplify right side
    301.05x = 81,598.33
  5. Step 5: Solve for x
    x = 81,598.33/301.05
  6. Step 6: Final answer
    x = 271.04

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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.