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Finding the Fourth Proportional to 180.82, 271.15 and 65.23

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Solution

The fourth proportional to 180.82, 271.15 and 65.23 is: 97.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.82 : 271.15 = 65.23 : x
  2. Step 2: Convert to fraction form
    180.82/271.15 = 65.23/x
  3. Step 3: Cross multiply
    180.82x = 271.15 × 65.23
  4. Step 4: Simplify right side
    180.82x = 17,687.11
  5. Step 5: Solve for x
    x = 17,687.11/180.82
  6. Step 6: Final answer
    x = 97.82

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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.