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Finding the Fourth Proportional to 267.06, 400.04 and 136.67

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Solution

The fourth proportional to 267.06, 400.04 and 136.67 is: 204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.06 : 400.04 = 136.67 : x
  2. Step 2: Convert to fraction form
    267.06/400.04 = 136.67/x
  3. Step 3: Cross multiply
    267.06x = 400.04 × 136.67
  4. Step 4: Simplify right side
    267.06x = 54,673.47
  5. Step 5: Solve for x
    x = 54,673.47/267.06
  6. Step 6: Final answer
    x = 204.72

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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.