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Finding the Fourth Proportional to 348.68, 522.60 and 186.27

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Solution

The fourth proportional to 348.68, 522.60 and 186.27 is: 279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.68 : 522.60 = 186.27 : x
  2. Step 2: Convert to fraction form
    348.68/522.60 = 186.27/x
  3. Step 3: Cross multiply
    348.68x = 522.60 × 186.27
  4. Step 4: Simplify right side
    348.68x = 97,344.70
  5. Step 5: Solve for x
    x = 97,344.70/348.68
  6. Step 6: Final answer
    x = 279.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.