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Finding the Fourth Proportional to 348.38, 522.80 and 120.38

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Solution

The fourth proportional to 348.38, 522.80 and 120.38 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.38 : 522.80 = 120.38 : x
  2. Step 2: Convert to fraction form
    348.38/522.80 = 120.38/x
  3. Step 3: Cross multiply
    348.38x = 522.80 × 120.38
  4. Step 4: Simplify right side
    348.38x = 62,932.35
  5. Step 5: Solve for x
    x = 62,932.35/348.38
  6. Step 6: Final answer
    x = 180.65

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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.