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Finding the Fourth Proportional to 351.48, 485.08 and 202.13

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Solution

The fourth proportional to 351.48, 485.08 and 202.13 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.48 : 485.08 = 202.13 : x
  2. Step 2: Convert to fraction form
    351.48/485.08 = 202.13/x
  3. Step 3: Cross multiply
    351.48x = 485.08 × 202.13
  4. Step 4: Simplify right side
    351.48x = 98,046.29
  5. Step 5: Solve for x
    x = 98,046.29/351.48
  6. Step 6: Final answer
    x = 278.95

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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.