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Finding the Fourth Proportional to 166.92, 248.73 and 157.32

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Solution

The fourth proportional to 166.92, 248.73 and 157.32 is: 234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 248.73 = 157.32 : x
  2. Step 2: Convert to fraction form
    166.92/248.73 = 157.32/x
  3. Step 3: Cross multiply
    166.92x = 248.73 × 157.32
  4. Step 4: Simplify right side
    166.92x = 39,130.20
  5. Step 5: Solve for x
    x = 39,130.20/166.92
  6. Step 6: Final answer
    x = 234.42

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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.