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Finding the Fourth Proportional to 267.35, 400.96 and 84.72

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Solution

The fourth proportional to 267.35, 400.96 and 84.72 is: 127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.35 : 400.96 = 84.72 : x
  2. Step 2: Convert to fraction form
    267.35/400.96 = 84.72/x
  3. Step 3: Cross multiply
    267.35x = 400.96 × 84.72
  4. Step 4: Simplify right side
    267.35x = 33,969.12
  5. Step 5: Solve for x
    x = 33,969.12/267.35
  6. Step 6: Final answer
    x = 127.06

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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.