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Finding the Fourth Proportional to 166.44, 248.07 and 159.24

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Solution

The fourth proportional to 166.44, 248.07 and 159.24 is: 237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.44 : 248.07 = 159.24 : x
  2. Step 2: Convert to fraction form
    166.44/248.07 = 159.24/x
  3. Step 3: Cross multiply
    166.44x = 248.07 × 159.24
  4. Step 4: Simplify right side
    166.44x = 39,502.67
  5. Step 5: Solve for x
    x = 39,502.67/166.44
  6. Step 6: Final answer
    x = 237.34

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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.