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Finding the Fourth Proportional to 267.07, 368.54 and 163.57

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Solution

The fourth proportional to 267.07, 368.54 and 163.57 is: 225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.07 : 368.54 = 163.57 : x
  2. Step 2: Convert to fraction form
    267.07/368.54 = 163.57/x
  3. Step 3: Cross multiply
    267.07x = 368.54 × 163.57
  4. Step 4: Simplify right side
    267.07x = 60,282.09
  5. Step 5: Solve for x
    x = 60,282.09/267.07
  6. Step 6: Final answer
    x = 225.72

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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.