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Finding the Fourth Proportional to 267.50, 401.27 and 96.50

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Solution

The fourth proportional to 267.50, 401.27 and 96.50 is: 144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.50 : 401.27 = 96.50 : x
  2. Step 2: Convert to fraction form
    267.50/401.27 = 96.50/x
  3. Step 3: Cross multiply
    267.50x = 401.27 × 96.50
  4. Step 4: Simplify right side
    267.50x = 38,722.07
  5. Step 5: Solve for x
    x = 38,722.07/267.50
  6. Step 6: Final answer
    x = 144.76

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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.