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Finding the Fourth Proportional to 193.90, 267.59 and 120.23

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Solution

The fourth proportional to 193.90, 267.59 and 120.23 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.90 : 267.59 = 120.23 : x
  2. Step 2: Convert to fraction form
    193.90/267.59 = 120.23/x
  3. Step 3: Cross multiply
    193.90x = 267.59 × 120.23
  4. Step 4: Simplify right side
    193.90x = 32,170.41
  5. Step 5: Solve for x
    x = 32,170.41/193.90
  6. Step 6: Final answer
    x = 165.91

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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.