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Finding the Fourth Proportional to 180.39, 269.98 and 165.41

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Solution

The fourth proportional to 180.39, 269.98 and 165.41 is: 247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.39 : 269.98 = 165.41 : x
  2. Step 2: Convert to fraction form
    180.39/269.98 = 165.41/x
  3. Step 3: Cross multiply
    180.39x = 269.98 × 165.41
  4. Step 4: Simplify right side
    180.39x = 44,655.63
  5. Step 5: Solve for x
    x = 44,655.63/180.39
  6. Step 6: Final answer
    x = 247.55

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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.