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Finding the Fourth Proportional to 292.50, 403.38 and 197.80

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Solution

The fourth proportional to 292.50, 403.38 and 197.80 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.50 : 403.38 = 197.80 : x
  2. Step 2: Convert to fraction form
    292.50/403.38 = 197.80/x
  3. Step 3: Cross multiply
    292.50x = 403.38 × 197.80
  4. Step 4: Simplify right side
    292.50x = 79,788.56
  5. Step 5: Solve for x
    x = 79,788.56/292.50
  6. Step 6: Final answer
    x = 272.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.