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Finding the Fourth Proportional to 279.19, 418.58 and 200.98

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Solution

The fourth proportional to 279.19, 418.58 and 200.98 is: 301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.19 : 418.58 = 200.98 : x
  2. Step 2: Convert to fraction form
    279.19/418.58 = 200.98/x
  3. Step 3: Cross multiply
    279.19x = 418.58 × 200.98
  4. Step 4: Simplify right side
    279.19x = 84,123.11
  5. Step 5: Solve for x
    x = 84,123.11/279.19
  6. Step 6: Final answer
    x = 301.32

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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.