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Finding the Fourth Proportional to 485.19, 727.80 and 196.65

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Solution

The fourth proportional to 485.19, 727.80 and 196.65 is: 294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.19 : 727.80 = 196.65 : x
  2. Step 2: Convert to fraction form
    485.19/727.80 = 196.65/x
  3. Step 3: Cross multiply
    485.19x = 727.80 × 196.65
  4. Step 4: Simplify right side
    485.19x = 143,121.87
  5. Step 5: Solve for x
    x = 143,121.87/485.19
  6. Step 6: Final answer
    x = 294.98

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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.