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Finding the Fourth Proportional to 180.29, 270.54 and 77.66

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Solution

The fourth proportional to 180.29, 270.54 and 77.66 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.29 : 270.54 = 77.66 : x
  2. Step 2: Convert to fraction form
    180.29/270.54 = 77.66/x
  3. Step 3: Cross multiply
    180.29x = 270.54 × 77.66
  4. Step 4: Simplify right side
    180.29x = 21,008.78
  5. Step 5: Solve for x
    x = 21,008.78/180.29
  6. Step 6: Final answer
    x = 116.53

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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.