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Finding the Fourth Proportional to 267.65, 369.25 and 157.09

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Solution

The fourth proportional to 267.65, 369.25 and 157.09 is: 216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.65 : 369.25 = 157.09 : x
  2. Step 2: Convert to fraction form
    267.65/369.25 = 157.09/x
  3. Step 3: Cross multiply
    267.65x = 369.25 × 157.09
  4. Step 4: Simplify right side
    267.65x = 58,004.76
  5. Step 5: Solve for x
    x = 58,004.76/267.65
  6. Step 6: Final answer
    x = 216.72

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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.