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Finding the Fourth Proportional to 351.18, 484.61 and 201.85

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Solution

The fourth proportional to 351.18, 484.61 and 201.85 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.18 : 484.61 = 201.85 : x
  2. Step 2: Convert to fraction form
    351.18/484.61 = 201.85/x
  3. Step 3: Cross multiply
    351.18x = 484.61 × 201.85
  4. Step 4: Simplify right side
    351.18x = 97,818.13
  5. Step 5: Solve for x
    x = 97,818.13/351.18
  6. Step 6: Final answer
    x = 278.54

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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.