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Finding the Fourth Proportional to 349.23, 482.04 and 201.96

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Solution

The fourth proportional to 349.23, 482.04 and 201.96 is: 278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.23 : 482.04 = 201.96 : x
  2. Step 2: Convert to fraction form
    349.23/482.04 = 201.96/x
  3. Step 3: Cross multiply
    349.23x = 482.04 × 201.96
  4. Step 4: Simplify right side
    349.23x = 97,352.80
  5. Step 5: Solve for x
    x = 97,352.80/349.23
  6. Step 6: Final answer
    x = 278.76

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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.