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Finding the Fourth Proportional to 425.35, 637.90 and 194.12

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Solution

The fourth proportional to 425.35, 637.90 and 194.12 is: 291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.35 : 637.90 = 194.12 : x
  2. Step 2: Convert to fraction form
    425.35/637.90 = 194.12/x
  3. Step 3: Cross multiply
    425.35x = 637.90 × 194.12
  4. Step 4: Simplify right side
    425.35x = 123,824.99
  5. Step 5: Solve for x
    x = 123,824.99/425.35
  6. Step 6: Final answer
    x = 291.12

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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.