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Finding the Fourth Proportional to 267.08, 368.22 and 257.12

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Solution

The fourth proportional to 267.08, 368.22 and 257.12 is: 354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.08 : 368.22 = 257.12 : x
  2. Step 2: Convert to fraction form
    267.08/368.22 = 257.12/x
  3. Step 3: Cross multiply
    267.08x = 368.22 × 257.12
  4. Step 4: Simplify right side
    267.08x = 94,676.73
  5. Step 5: Solve for x
    x = 94,676.73/267.08
  6. Step 6: Final answer
    x = 354.49

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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.