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Finding the Fourth Proportional to 351.44, 485 and 202.14

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Solution

The fourth proportional to 351.44, 485 and 202.14 is: 278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.44 : 485 = 202.14 : x
  2. Step 2: Convert to fraction form
    351.44/485 = 202.14/x
  3. Step 3: Cross multiply
    351.44x = 485 × 202.14
  4. Step 4: Simplify right side
    351.44x = 98,037.90
  5. Step 5: Solve for x
    x = 98,037.90/351.44
  6. Step 6: Final answer
    x = 278.96

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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.