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Finding the Fourth Proportional to 193.84, 267.64 and 120.24

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Solution

The fourth proportional to 193.84, 267.64 and 120.24 is: 166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 267.64 = 120.24 : x
  2. Step 2: Convert to fraction form
    193.84/267.64 = 120.24/x
  3. Step 3: Cross multiply
    193.84x = 267.64 × 120.24
  4. Step 4: Simplify right side
    193.84x = 32,181.03
  5. Step 5: Solve for x
    x = 32,181.03/193.84
  6. Step 6: Final answer
    x = 166.02

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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.