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Finding the Fourth Proportional to 267.13, 400.70 and 84.54

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Solution

The fourth proportional to 267.13, 400.70 and 84.54 is: 126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.13 : 400.70 = 84.54 : x
  2. Step 2: Convert to fraction form
    267.13/400.70 = 84.54/x
  3. Step 3: Cross multiply
    267.13x = 400.70 × 84.54
  4. Step 4: Simplify right side
    267.13x = 33,875.18
  5. Step 5: Solve for x
    x = 33,875.18/267.13
  6. Step 6: Final answer
    x = 126.81

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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.