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Finding the Fourth Proportional to 198.08, 296.57 and 164.00

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Solution

The fourth proportional to 198.08, 296.57 and 164.00 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 296.57 = 164.00 : x
  2. Step 2: Convert to fraction form
    198.08/296.57 = 164.00/x
  3. Step 3: Cross multiply
    198.08x = 296.57 × 164.00
  4. Step 4: Simplify right side
    198.08x = 48,635.18
  5. Step 5: Solve for x
    x = 48,635.18/198.08
  6. Step 6: Final answer
    x = 245.54

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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.