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Finding the Fourth Proportional to 166.88, 248.92 and 155.36

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Solution

The fourth proportional to 166.88, 248.92 and 155.36 is: 231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.88 : 248.92 = 155.36 : x
  2. Step 2: Convert to fraction form
    166.88/248.92 = 155.36/x
  3. Step 3: Cross multiply
    166.88x = 248.92 × 155.36
  4. Step 4: Simplify right side
    166.88x = 38,672.21
  5. Step 5: Solve for x
    x = 38,672.21/166.88
  6. Step 6: Final answer
    x = 231.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.