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Finding the Fourth Proportional to 267.11, 368.61 and 147.47

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Solution

The fourth proportional to 267.11, 368.61 and 147.47 is: 203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.11 : 368.61 = 147.47 : x
  2. Step 2: Convert to fraction form
    267.11/368.61 = 147.47/x
  3. Step 3: Cross multiply
    267.11x = 368.61 × 147.47
  4. Step 4: Simplify right side
    267.11x = 54,359.84
  5. Step 5: Solve for x
    x = 54,359.84/267.11
  6. Step 6: Final answer
    x = 203.51

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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.