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Finding the Fourth Proportional to 267.68, 401.20 and 235.68

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Solution

The fourth proportional to 267.68, 401.20 and 235.68 is: 353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.68 : 401.20 = 235.68 : x
  2. Step 2: Convert to fraction form
    267.68/401.20 = 235.68/x
  3. Step 3: Cross multiply
    267.68x = 401.20 × 235.68
  4. Step 4: Simplify right side
    267.68x = 94,554.82
  5. Step 5: Solve for x
    x = 94,554.82/267.68
  6. Step 6: Final answer
    x = 353.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.