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Finding the Fourth Proportional to 166.73, 248.00 and 152.96

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Solution

The fourth proportional to 166.73, 248.00 and 152.96 is: 227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.73 : 248.00 = 152.96 : x
  2. Step 2: Convert to fraction form
    166.73/248.00 = 152.96/x
  3. Step 3: Cross multiply
    166.73x = 248.00 × 152.96
  4. Step 4: Simplify right side
    166.73x = 37,932.08
  5. Step 5: Solve for x
    x = 37,932.08/166.73
  6. Step 6: Final answer
    x = 227.51

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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.