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Finding the Fourth Proportional to 267.76, 369.52 and 157.22

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Solution

The fourth proportional to 267.76, 369.52 and 157.22 is: 216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.76 : 369.52 = 157.22 : x
  2. Step 2: Convert to fraction form
    267.76/369.52 = 157.22/x
  3. Step 3: Cross multiply
    267.76x = 369.52 × 157.22
  4. Step 4: Simplify right side
    267.76x = 58,095.93
  5. Step 5: Solve for x
    x = 58,095.93/267.76
  6. Step 6: Final answer
    x = 216.97

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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.