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Finding the Fourth Proportional to 267.07, 368.57 and 201.46

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Solution

The fourth proportional to 267.07, 368.57 and 201.46 is: 278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.07 : 368.57 = 201.46 : x
  2. Step 2: Convert to fraction form
    267.07/368.57 = 201.46/x
  3. Step 3: Cross multiply
    267.07x = 368.57 × 201.46
  4. Step 4: Simplify right side
    267.07x = 74,252.11
  5. Step 5: Solve for x
    x = 74,252.11/267.07
  6. Step 6: Final answer
    x = 278.02

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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.