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Finding the Fourth Proportional to 485.25, 728.22 and 196.68

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Solution

The fourth proportional to 485.25, 728.22 and 196.68 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.25 : 728.22 = 196.68 : x
  2. Step 2: Convert to fraction form
    485.25/728.22 = 196.68/x
  3. Step 3: Cross multiply
    485.25x = 728.22 × 196.68
  4. Step 4: Simplify right side
    485.25x = 143,226.31
  5. Step 5: Solve for x
    x = 143,226.31/485.25
  6. Step 6: Final answer
    x = 295.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.