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Finding the Fourth Proportional to 180.80, 271.20 and 172.91

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Solution

The fourth proportional to 180.80, 271.20 and 172.91 is: 259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 271.20 = 172.91 : x
  2. Step 2: Convert to fraction form
    180.80/271.20 = 172.91/x
  3. Step 3: Cross multiply
    180.80x = 271.20 × 172.91
  4. Step 4: Simplify right side
    180.80x = 46,891.84
  5. Step 5: Solve for x
    x = 46,891.84/180.80
  6. Step 6: Final answer
    x = 259.36

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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.