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Finding the Fourth Proportional to 267.28, 368.88 and 193.84

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Solution

The fourth proportional to 267.28, 368.88 and 193.84 is: 267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.28 : 368.88 = 193.84 : x
  2. Step 2: Convert to fraction form
    267.28/368.88 = 193.84/x
  3. Step 3: Cross multiply
    267.28x = 368.88 × 193.84
  4. Step 4: Simplify right side
    267.28x = 71,503.70
  5. Step 5: Solve for x
    x = 71,503.70/267.28
  6. Step 6: Final answer
    x = 267.52

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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.