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Finding the Fourth Proportional to 267.27, 368.82 and 150.83

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Solution

The fourth proportional to 267.27, 368.82 and 150.83 is: 208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.27 : 368.82 = 150.83 : x
  2. Step 2: Convert to fraction form
    267.27/368.82 = 150.83/x
  3. Step 3: Cross multiply
    267.27x = 368.82 × 150.83
  4. Step 4: Simplify right side
    267.27x = 55,629.12
  5. Step 5: Solve for x
    x = 55,629.12/267.27
  6. Step 6: Final answer
    x = 208.14

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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.