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Finding the Fourth Proportional to 267.97, 400.80 and 158.02

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Solution

The fourth proportional to 267.97, 400.80 and 158.02 is: 236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.97 : 400.80 = 158.02 : x
  2. Step 2: Convert to fraction form
    267.97/400.80 = 158.02/x
  3. Step 3: Cross multiply
    267.97x = 400.80 × 158.02
  4. Step 4: Simplify right side
    267.97x = 63,333.63
  5. Step 5: Solve for x
    x = 63,333.63/267.97
  6. Step 6: Final answer
    x = 236.35

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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.