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Finding the Fourth Proportional to 267.75, 401.63 and 96.75

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Solution

The fourth proportional to 267.75, 401.63 and 96.75 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.75 : 401.63 = 96.75 : x
  2. Step 2: Convert to fraction form
    267.75/401.63 = 96.75/x
  3. Step 3: Cross multiply
    267.75x = 401.63 × 96.75
  4. Step 4: Simplify right side
    267.75x = 38,857.22
  5. Step 5: Solve for x
    x = 38,857.22/267.75
  6. Step 6: Final answer
    x = 145.13

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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.