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Finding the Fourth Proportional to 348.53, 522.63 and 194.09

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Solution

The fourth proportional to 348.53, 522.63 and 194.09 is: 291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.53 : 522.63 = 194.09 : x
  2. Step 2: Convert to fraction form
    348.53/522.63 = 194.09/x
  3. Step 3: Cross multiply
    348.53x = 522.63 × 194.09
  4. Step 4: Simplify right side
    348.53x = 101,437.26
  5. Step 5: Solve for x
    x = 101,437.26/348.53
  6. Step 6: Final answer
    x = 291.04

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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.