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Finding the Fourth Proportional to 349.26, 482.08 and 201.98

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Solution

The fourth proportional to 349.26, 482.08 and 201.98 is: 278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.26 : 482.08 = 201.98 : x
  2. Step 2: Convert to fraction form
    349.26/482.08 = 201.98/x
  3. Step 3: Cross multiply
    349.26x = 482.08 × 201.98
  4. Step 4: Simplify right side
    349.26x = 97,370.52
  5. Step 5: Solve for x
    x = 97,370.52/349.26
  6. Step 6: Final answer
    x = 278.79

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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.