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Finding the Fourth Proportional to 279.40, 419.10 and 197.80

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Solution

The fourth proportional to 279.40, 419.10 and 197.80 is: 296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.40 : 419.10 = 197.80 : x
  2. Step 2: Convert to fraction form
    279.40/419.10 = 197.80/x
  3. Step 3: Cross multiply
    279.40x = 419.10 × 197.80
  4. Step 4: Simplify right side
    279.40x = 82,897.98
  5. Step 5: Solve for x
    x = 82,897.98/279.40
  6. Step 6: Final answer
    x = 296.70

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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.