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Finding the Fourth Proportional to 180.84, 271.14 and 76.67

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Solution

The fourth proportional to 180.84, 271.14 and 76.67 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 271.14 = 76.67 : x
  2. Step 2: Convert to fraction form
    180.84/271.14 = 76.67/x
  3. Step 3: Cross multiply
    180.84x = 271.14 × 76.67
  4. Step 4: Simplify right side
    180.84x = 20,787.14
  5. Step 5: Solve for x
    x = 20,787.14/180.84
  6. Step 6: Final answer
    x = 114.95

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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.