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Finding the Fourth Proportional to 267.53, 401.27 and 164.76

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Solution

The fourth proportional to 267.53, 401.27 and 164.76 is: 247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.53 : 401.27 = 164.76 : x
  2. Step 2: Convert to fraction form
    267.53/401.27 = 164.76/x
  3. Step 3: Cross multiply
    267.53x = 401.27 × 164.76
  4. Step 4: Simplify right side
    267.53x = 66,112.42
  5. Step 5: Solve for x
    x = 66,112.42/267.53
  6. Step 6: Final answer
    x = 247.13

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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.