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Finding the Fourth Proportional to 180.78, 271.32 and 78.14

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Solution

The fourth proportional to 180.78, 271.32 and 78.14 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 271.32 = 78.14 : x
  2. Step 2: Convert to fraction form
    180.78/271.32 = 78.14/x
  3. Step 3: Cross multiply
    180.78x = 271.32 × 78.14
  4. Step 4: Simplify right side
    180.78x = 21,201.77
  5. Step 5: Solve for x
    x = 21,201.77/180.78
  6. Step 6: Final answer
    x = 117.28

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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.