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Finding the Fourth Proportional to 348.48, 522.09 and 194.00

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Solution

The fourth proportional to 348.48, 522.09 and 194.00 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.48 : 522.09 = 194.00 : x
  2. Step 2: Convert to fraction form
    348.48/522.09 = 194.00/x
  3. Step 3: Cross multiply
    348.48x = 522.09 × 194.00
  4. Step 4: Simplify right side
    348.48x = 101,282.85
  5. Step 5: Solve for x
    x = 101,282.85/348.48
  6. Step 6: Final answer
    x = 290.64

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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.