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Finding the Fourth Proportional to 193.72, 267.28 and 119.04

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Solution

The fourth proportional to 193.72, 267.28 and 119.04 is: 164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.72 : 267.28 = 119.04 : x
  2. Step 2: Convert to fraction form
    193.72/267.28 = 119.04/x
  3. Step 3: Cross multiply
    193.72x = 267.28 × 119.04
  4. Step 4: Simplify right side
    193.72x = 31,817.01
  5. Step 5: Solve for x
    x = 31,817.01/193.72
  6. Step 6: Final answer
    x = 164.24

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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.