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Finding the Fourth Proportional to 267.46, 401.22 and 164.58

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Solution

The fourth proportional to 267.46, 401.22 and 164.58 is: 246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.46 : 401.22 = 164.58 : x
  2. Step 2: Convert to fraction form
    267.46/401.22 = 164.58/x
  3. Step 3: Cross multiply
    267.46x = 401.22 × 164.58
  4. Step 4: Simplify right side
    267.46x = 66,032.79
  5. Step 5: Solve for x
    x = 66,032.79/267.46
  6. Step 6: Final answer
    x = 246.89

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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.