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Finding the Fourth Proportional to 180.95, 271.61 and 78.27

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Solution

The fourth proportional to 180.95, 271.61 and 78.27 is: 117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.95 : 271.61 = 78.27 : x
  2. Step 2: Convert to fraction form
    180.95/271.61 = 78.27/x
  3. Step 3: Cross multiply
    180.95x = 271.61 × 78.27
  4. Step 4: Simplify right side
    180.95x = 21,258.52
  5. Step 5: Solve for x
    x = 21,258.52/180.95
  6. Step 6: Final answer
    x = 117.49

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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.