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Finding the Fourth Proportional to 197.00, 294.83 and 140.36

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Solution

The fourth proportional to 197.00, 294.83 and 140.36 is: 210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.00 : 294.83 = 140.36 : x
  2. Step 2: Convert to fraction form
    197.00/294.83 = 140.36/x
  3. Step 3: Cross multiply
    197.00x = 294.83 × 140.36
  4. Step 4: Simplify right side
    197.00x = 41,382.50
  5. Step 5: Solve for x
    x = 41,382.50/197.00
  6. Step 6: Final answer
    x = 210.07

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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.