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Finding the Fourth Proportional to 267.08, 367.65 and 232.52

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Solution

The fourth proportional to 267.08, 367.65 and 232.52 is: 320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.08 : 367.65 = 232.52 : x
  2. Step 2: Convert to fraction form
    267.08/367.65 = 232.52/x
  3. Step 3: Cross multiply
    267.08x = 367.65 × 232.52
  4. Step 4: Simplify right side
    267.08x = 85,485.98
  5. Step 5: Solve for x
    x = 85,485.98/267.08
  6. Step 6: Final answer
    x = 320.08

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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.