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Finding the Fourth Proportional to 279.34, 418.72 and 116.80

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Solution

The fourth proportional to 279.34, 418.72 and 116.80 is: 175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.34 : 418.72 = 116.80 : x
  2. Step 2: Convert to fraction form
    279.34/418.72 = 116.80/x
  3. Step 3: Cross multiply
    279.34x = 418.72 × 116.80
  4. Step 4: Simplify right side
    279.34x = 48,906.50
  5. Step 5: Solve for x
    x = 48,906.50/279.34
  6. Step 6: Final answer
    x = 175.08

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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.