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Finding the Fourth Proportional to 267.70, 369.42 and 151.26

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Solution

The fourth proportional to 267.70, 369.42 and 151.26 is: 208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.70 : 369.42 = 151.26 : x
  2. Step 2: Convert to fraction form
    267.70/369.42 = 151.26/x
  3. Step 3: Cross multiply
    267.70x = 369.42 × 151.26
  4. Step 4: Simplify right side
    267.70x = 55,878.47
  5. Step 5: Solve for x
    x = 55,878.47/267.70
  6. Step 6: Final answer
    x = 208.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.