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Finding the Fourth Proportional to 348.19, 522.39 and 194.05

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Solution

The fourth proportional to 348.19, 522.39 and 194.05 is: 291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.19 : 522.39 = 194.05 : x
  2. Step 2: Convert to fraction form
    348.19/522.39 = 194.05/x
  3. Step 3: Cross multiply
    348.19x = 522.39 × 194.05
  4. Step 4: Simplify right side
    348.19x = 101,369.78
  5. Step 5: Solve for x
    x = 101,369.78/348.19
  6. Step 6: Final answer
    x = 291.13

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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.