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Finding the Fourth Proportional to 485.14, 727.70 and 196.50

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Solution

The fourth proportional to 485.14, 727.70 and 196.50 is: 294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.14 : 727.70 = 196.50 : x
  2. Step 2: Convert to fraction form
    485.14/727.70 = 196.50/x
  3. Step 3: Cross multiply
    485.14x = 727.70 × 196.50
  4. Step 4: Simplify right side
    485.14x = 142,993.05
  5. Step 5: Solve for x
    x = 142,993.05/485.14
  6. Step 6: Final answer
    x = 294.75

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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.