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Finding the Fourth Proportional to 279.34, 418.39 and 116.53

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Solution

The fourth proportional to 279.34, 418.39 and 116.53 is: 174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.34 : 418.39 = 116.53 : x
  2. Step 2: Convert to fraction form
    279.34/418.39 = 116.53/x
  3. Step 3: Cross multiply
    279.34x = 418.39 × 116.53
  4. Step 4: Simplify right side
    279.34x = 48,754.99
  5. Step 5: Solve for x
    x = 48,754.99/279.34
  6. Step 6: Final answer
    x = 174.54

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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.