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Finding the Fourth Proportional to 180.84, 270.82 and 170.72

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Solution

The fourth proportional to 180.84, 270.82 and 170.72 is: 255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 270.82 = 170.72 : x
  2. Step 2: Convert to fraction form
    180.84/270.82 = 170.72/x
  3. Step 3: Cross multiply
    180.84x = 270.82 × 170.72
  4. Step 4: Simplify right side
    180.84x = 46,234.39
  5. Step 5: Solve for x
    x = 46,234.39/180.84
  6. Step 6: Final answer
    x = 255.66

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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.