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Finding the Fourth Proportional to 180.92, 271.28 and 78.20

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Solution

The fourth proportional to 180.92, 271.28 and 78.20 is: 117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 271.28 = 78.20 : x
  2. Step 2: Convert to fraction form
    180.92/271.28 = 78.20/x
  3. Step 3: Cross multiply
    180.92x = 271.28 × 78.20
  4. Step 4: Simplify right side
    180.92x = 21,212.35
  5. Step 5: Solve for x
    x = 21,212.35/180.92
  6. Step 6: Final answer
    x = 117.25

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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.