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Finding the Fourth Proportional to 348.84, 523.46 and 186.44

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Solution

The fourth proportional to 348.84, 523.46 and 186.44 is: 279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.84 : 523.46 = 186.44 : x
  2. Step 2: Convert to fraction form
    348.84/523.46 = 186.44/x
  3. Step 3: Cross multiply
    348.84x = 523.46 × 186.44
  4. Step 4: Simplify right side
    348.84x = 97,591.73
  5. Step 5: Solve for x
    x = 97,591.73/348.84
  6. Step 6: Final answer
    x = 279.76

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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.