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Finding the Fourth Proportional to 180.78, 271.06 and 65.22

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Solution

The fourth proportional to 180.78, 271.06 and 65.22 is: 97.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 271.06 = 65.22 : x
  2. Step 2: Convert to fraction form
    180.78/271.06 = 65.22/x
  3. Step 3: Cross multiply
    180.78x = 271.06 × 65.22
  4. Step 4: Simplify right side
    180.78x = 17,678.53
  5. Step 5: Solve for x
    x = 17,678.53/180.78
  6. Step 6: Final answer
    x = 97.79

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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.