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Finding the Fourth Proportional to 301.48, 415.92 and 201.85

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Solution

The fourth proportional to 301.48, 415.92 and 201.85 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.48 : 415.92 = 201.85 : x
  2. Step 2: Convert to fraction form
    301.48/415.92 = 201.85/x
  3. Step 3: Cross multiply
    301.48x = 415.92 × 201.85
  4. Step 4: Simplify right side
    301.48x = 83,953.45
  5. Step 5: Solve for x
    x = 83,953.45/301.48
  6. Step 6: Final answer
    x = 278.47

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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.