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Finding the Fourth Proportional to 351.08, 484.46 and 201.72

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Solution

The fourth proportional to 351.08, 484.46 and 201.72 is: 278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.08 : 484.46 = 201.72 : x
  2. Step 2: Convert to fraction form
    351.08/484.46 = 201.72/x
  3. Step 3: Cross multiply
    351.08x = 484.46 × 201.72
  4. Step 4: Simplify right side
    351.08x = 97,724.26
  5. Step 5: Solve for x
    x = 97,724.26/351.08
  6. Step 6: Final answer
    x = 278.35

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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.