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Finding the Fourth Proportional to 279.96, 418.97 and 177.29

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Solution

The fourth proportional to 279.96, 418.97 and 177.29 is: 265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.96 : 418.97 = 177.29 : x
  2. Step 2: Convert to fraction form
    279.96/418.97 = 177.29/x
  3. Step 3: Cross multiply
    279.96x = 418.97 × 177.29
  4. Step 4: Simplify right side
    279.96x = 74,279.11
  5. Step 5: Solve for x
    x = 74,279.11/279.96
  6. Step 6: Final answer
    x = 265.32

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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.