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Finding the Fourth Proportional to 193.65, 267.16 and 120

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Solution

The fourth proportional to 193.65, 267.16 and 120 is: 165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.65 : 267.16 = 120 : x
  2. Step 2: Convert to fraction form
    193.65/267.16 = 120/x
  3. Step 3: Cross multiply
    193.65x = 267.16 × 120
  4. Step 4: Simplify right side
    193.65x = 32,059.20
  5. Step 5: Solve for x
    x = 32,059.20/193.65
  6. Step 6: Final answer
    x = 165.55

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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.