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Finding the Fourth Proportional to 267.79, 368.97 and 180.31

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Solution

The fourth proportional to 267.79, 368.97 and 180.31 is: 248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.79 : 368.97 = 180.31 : x
  2. Step 2: Convert to fraction form
    267.79/368.97 = 180.31/x
  3. Step 3: Cross multiply
    267.79x = 368.97 × 180.31
  4. Step 4: Simplify right side
    267.79x = 66,528.08
  5. Step 5: Solve for x
    x = 66,528.08/267.79
  6. Step 6: Final answer
    x = 248.43

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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.