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Finding the Fourth Proportional to 349.14, 481.82 and 201.77

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Solution

The fourth proportional to 349.14, 481.82 and 201.77 is: 278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.14 : 481.82 = 201.77 : x
  2. Step 2: Convert to fraction form
    349.14/481.82 = 201.77/x
  3. Step 3: Cross multiply
    349.14x = 481.82 × 201.77
  4. Step 4: Simplify right side
    349.14x = 97,217.92
  5. Step 5: Solve for x
    x = 97,217.92/349.14
  6. Step 6: Final answer
    x = 278.45

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Why These Related Problems?

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