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Finding the Fourth Proportional to 198.64, 273.68 and 146.08

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Solution

The fourth proportional to 198.64, 273.68 and 146.08 is: 201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 273.68 = 146.08 : x
  2. Step 2: Convert to fraction form
    198.64/273.68 = 146.08/x
  3. Step 3: Cross multiply
    198.64x = 273.68 × 146.08
  4. Step 4: Simplify right side
    198.64x = 39,979.17
  5. Step 5: Solve for x
    x = 39,979.17/198.64
  6. Step 6: Final answer
    x = 201.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.