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Finding the Fourth Proportional to 180.17, 270.34 and 77.42

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Solution

The fourth proportional to 180.17, 270.34 and 77.42 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.17 : 270.34 = 77.42 : x
  2. Step 2: Convert to fraction form
    180.17/270.34 = 77.42/x
  3. Step 3: Cross multiply
    180.17x = 270.34 × 77.42
  4. Step 4: Simplify right side
    180.17x = 20,929.72
  5. Step 5: Solve for x
    x = 20,929.72/180.17
  6. Step 6: Final answer
    x = 116.17

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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.