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Finding the Fourth Proportional to 267.68, 368.88 and 193.92

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Solution

The fourth proportional to 267.68, 368.88 and 193.92 is: 267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.68 : 368.88 = 193.92 : x
  2. Step 2: Convert to fraction form
    267.68/368.88 = 193.92/x
  3. Step 3: Cross multiply
    267.68x = 368.88 × 193.92
  4. Step 4: Simplify right side
    267.68x = 71,533.21
  5. Step 5: Solve for x
    x = 71,533.21/267.68
  6. Step 6: Final answer
    x = 267.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.