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Finding the Fourth Proportional to 180.90, 271.16 and 119.04

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Solution

The fourth proportional to 180.90, 271.16 and 119.04 is: 178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.90 : 271.16 = 119.04 : x
  2. Step 2: Convert to fraction form
    180.90/271.16 = 119.04/x
  3. Step 3: Cross multiply
    180.90x = 271.16 × 119.04
  4. Step 4: Simplify right side
    180.90x = 32,278.89
  5. Step 5: Solve for x
    x = 32,278.89/180.90
  6. Step 6: Final answer
    x = 178.43

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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.