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Finding the Fourth Proportional to 180.23, 270.28 and 77.46

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Solution

The fourth proportional to 180.23, 270.28 and 77.46 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 270.28 = 77.46 : x
  2. Step 2: Convert to fraction form
    180.23/270.28 = 77.46/x
  3. Step 3: Cross multiply
    180.23x = 270.28 × 77.46
  4. Step 4: Simplify right side
    180.23x = 20,937.00
  5. Step 5: Solve for x
    x = 20,937.00/180.23
  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.