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Finding the Fourth Proportional to 193.96, 267.62 and 111.06

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Solution

The fourth proportional to 193.96, 267.62 and 111.06 is: 153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.96 : 267.62 = 111.06 : x
  2. Step 2: Convert to fraction form
    193.96/267.62 = 111.06/x
  3. Step 3: Cross multiply
    193.96x = 267.62 × 111.06
  4. Step 4: Simplify right side
    193.96x = 29,721.88
  5. Step 5: Solve for x
    x = 29,721.88/193.96
  6. Step 6: Final answer
    x = 153.24

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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.