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Finding the Fourth Proportional to 348.45, 522.33 and 186.22

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Solution

The fourth proportional to 348.45, 522.33 and 186.22 is: 279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.45 : 522.33 = 186.22 : x
  2. Step 2: Convert to fraction form
    348.45/522.33 = 186.22/x
  3. Step 3: Cross multiply
    348.45x = 522.33 × 186.22
  4. Step 4: Simplify right side
    348.45x = 97,268.29
  5. Step 5: Solve for x
    x = 97,268.29/348.45
  6. Step 6: Final answer
    x = 279.15

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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.