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Finding the Fourth Proportional to 180.02, 269.82 and 159.78

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Solution

The fourth proportional to 180.02, 269.82 and 159.78 is: 239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 269.82 = 159.78 : x
  2. Step 2: Convert to fraction form
    180.02/269.82 = 159.78/x
  3. Step 3: Cross multiply
    180.02x = 269.82 × 159.78
  4. Step 4: Simplify right side
    180.02x = 43,111.84
  5. Step 5: Solve for x
    x = 43,111.84/180.02
  6. Step 6: Final answer
    x = 239.48

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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.