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Finding the Fourth Proportional to 279.09, 418.65 and 132.98

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Solution

The fourth proportional to 279.09, 418.65 and 132.98 is: 199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.09 : 418.65 = 132.98 : x
  2. Step 2: Convert to fraction form
    279.09/418.65 = 132.98/x
  3. Step 3: Cross multiply
    279.09x = 418.65 × 132.98
  4. Step 4: Simplify right side
    279.09x = 55,669.98
  5. Step 5: Solve for x
    x = 55,669.98/279.09
  6. Step 6: Final answer
    x = 199.47

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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.