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Finding the Fourth Proportional to 267.24, 401.11 and 145.76

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Solution

The fourth proportional to 267.24, 401.11 and 145.76 is: 218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.24 : 401.11 = 145.76 : x
  2. Step 2: Convert to fraction form
    267.24/401.11 = 145.76/x
  3. Step 3: Cross multiply
    267.24x = 401.11 × 145.76
  4. Step 4: Simplify right side
    267.24x = 58,465.79
  5. Step 5: Solve for x
    x = 58,465.79/267.24
  6. Step 6: Final answer
    x = 218.78

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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.