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Finding the Fourth Proportional to 267.29, 401.06 and 145.41

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Solution

The fourth proportional to 267.29, 401.06 and 145.41 is: 218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.29 : 401.06 = 145.41 : x
  2. Step 2: Convert to fraction form
    267.29/401.06 = 145.41/x
  3. Step 3: Cross multiply
    267.29x = 401.06 × 145.41
  4. Step 4: Simplify right side
    267.29x = 58,318.50
  5. Step 5: Solve for x
    x = 58,318.50/267.29
  6. Step 6: Final answer
    x = 218.18

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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.