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Finding the Fourth Proportional to 166.02, 248.55 and 159.78

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Solution

The fourth proportional to 166.02, 248.55 and 159.78 is: 239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 248.55 = 159.78 : x
  2. Step 2: Convert to fraction form
    166.02/248.55 = 159.78/x
  3. Step 3: Cross multiply
    166.02x = 248.55 × 159.78
  4. Step 4: Simplify right side
    166.02x = 39,713.32
  5. Step 5: Solve for x
    x = 39,713.32/166.02
  6. Step 6: Final answer
    x = 239.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.