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Finding the Fourth Proportional to 352.17, 485.99 and 202.80

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Solution

The fourth proportional to 352.17, 485.99 and 202.80 is: 279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.17 : 485.99 = 202.80 : x
  2. Step 2: Convert to fraction form
    352.17/485.99 = 202.80/x
  3. Step 3: Cross multiply
    352.17x = 485.99 × 202.80
  4. Step 4: Simplify right side
    352.17x = 98,558.77
  5. Step 5: Solve for x
    x = 98,558.77/352.17
  6. Step 6: Final answer
    x = 279.86

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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.