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Finding the Fourth Proportional to 267.88, 401.66 and 105.58

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Solution

The fourth proportional to 267.88, 401.66 and 105.58 is: 158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.88 : 401.66 = 105.58 : x
  2. Step 2: Convert to fraction form
    267.88/401.66 = 105.58/x
  3. Step 3: Cross multiply
    267.88x = 401.66 × 105.58
  4. Step 4: Simplify right side
    267.88x = 42,407.26
  5. Step 5: Solve for x
    x = 42,407.26/267.88
  6. Step 6: Final answer
    x = 158.31

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