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Finding the Fourth Proportional to 267.61, 368.99 and 201.31

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Solution

The fourth proportional to 267.61, 368.99 and 201.31 is: 277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.61 : 368.99 = 201.31 : x
  2. Step 2: Convert to fraction form
    267.61/368.99 = 201.31/x
  3. Step 3: Cross multiply
    267.61x = 368.99 × 201.31
  4. Step 4: Simplify right side
    267.61x = 74,281.38
  5. Step 5: Solve for x
    x = 74,281.38/267.61
  6. Step 6: Final answer
    x = 277.57

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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.