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Finding the Fourth Proportional to 180.02, 269.82 and 83.63

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Solution

The fourth proportional to 180.02, 269.82 and 83.63 is: 125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 269.82 = 83.63 : x
  2. Step 2: Convert to fraction form
    180.02/269.82 = 83.63/x
  3. Step 3: Cross multiply
    180.02x = 269.82 × 83.63
  4. Step 4: Simplify right side
    180.02x = 22,563.70
  5. Step 5: Solve for x
    x = 22,563.70/180.02
  6. Step 6: Final answer
    x = 125.34

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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.