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Finding the Fourth Proportional to 193.76, 267.36 and 120.16

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Solution

The fourth proportional to 193.76, 267.36 and 120.16 is: 165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.76 : 267.36 = 120.16 : x
  2. Step 2: Convert to fraction form
    193.76/267.36 = 120.16/x
  3. Step 3: Cross multiply
    193.76x = 267.36 × 120.16
  4. Step 4: Simplify right side
    193.76x = 32,125.98
  5. Step 5: Solve for x
    x = 32,125.98/193.76
  6. Step 6: Final answer
    x = 165.80

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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.