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Finding the Fourth Proportional to 180.80, 271.18 and 135.22

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Solution

The fourth proportional to 180.80, 271.18 and 135.22 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 271.18 = 135.22 : x
  2. Step 2: Convert to fraction form
    180.80/271.18 = 135.22/x
  3. Step 3: Cross multiply
    180.80x = 271.18 × 135.22
  4. Step 4: Simplify right side
    180.80x = 36,668.96
  5. Step 5: Solve for x
    x = 36,668.96/180.80
  6. Step 6: Final answer
    x = 202.82

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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.