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Finding the Fourth Proportional to 267.81, 369.52 and 169.51

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Solution

The fourth proportional to 267.81, 369.52 and 169.51 is: 233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.81 : 369.52 = 169.51 : x
  2. Step 2: Convert to fraction form
    267.81/369.52 = 169.51/x
  3. Step 3: Cross multiply
    267.81x = 369.52 × 169.51
  4. Step 4: Simplify right side
    267.81x = 62,637.34
  5. Step 5: Solve for x
    x = 62,637.34/267.81
  6. Step 6: Final answer
    x = 233.89

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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.