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Finding the Fourth Proportional to 348.83, 481.50 and 201.50

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Solution

The fourth proportional to 348.83, 481.50 and 201.50 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.83 : 481.50 = 201.50 : x
  2. Step 2: Convert to fraction form
    348.83/481.50 = 201.50/x
  3. Step 3: Cross multiply
    348.83x = 481.50 × 201.50
  4. Step 4: Simplify right side
    348.83x = 97,022.25
  5. Step 5: Solve for x
    x = 97,022.25/348.83
  6. Step 6: Final answer
    x = 278.14

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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.