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Finding the Fourth Proportional to 348.93, 523.10 and 194.73

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Solution

The fourth proportional to 348.93, 523.10 and 194.73 is: 291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.93 : 523.10 = 194.73 : x
  2. Step 2: Convert to fraction form
    348.93/523.10 = 194.73/x
  3. Step 3: Cross multiply
    348.93x = 523.10 × 194.73
  4. Step 4: Simplify right side
    348.93x = 101,862.29
  5. Step 5: Solve for x
    x = 101,862.29/348.93
  6. Step 6: Final answer
    x = 291.93

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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.