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Finding the Fourth Proportional to 267.07, 400.78 and 96.07

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Solution

The fourth proportional to 267.07, 400.78 and 96.07 is: 144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.07 : 400.78 = 96.07 : x
  2. Step 2: Convert to fraction form
    267.07/400.78 = 96.07/x
  3. Step 3: Cross multiply
    267.07x = 400.78 × 96.07
  4. Step 4: Simplify right side
    267.07x = 38,500.45
  5. Step 5: Solve for x
    x = 38,500.45/267.07
  6. Step 6: Final answer
    x = 144.16

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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.