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Finding the Fourth Proportional to 267.48, 368.66 and 180

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Solution

The fourth proportional to 267.48, 368.66 and 180 is: 248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.48 : 368.66 = 180 : x
  2. Step 2: Convert to fraction form
    267.48/368.66 = 180/x
  3. Step 3: Cross multiply
    267.48x = 368.66 × 180
  4. Step 4: Simplify right side
    267.48x = 66,358.80
  5. Step 5: Solve for x
    x = 66,358.80/267.48
  6. Step 6: Final answer
    x = 248.09

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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.