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Finding the Fourth Proportional to 297.82, 411 and 179.80

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Solution

The fourth proportional to 297.82, 411 and 179.80 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.82 : 411 = 179.80 : x
  2. Step 2: Convert to fraction form
    297.82/411 = 179.80/x
  3. Step 3: Cross multiply
    297.82x = 411 × 179.80
  4. Step 4: Simplify right side
    297.82x = 73,898.31
  5. Step 5: Solve for x
    x = 73,898.31/297.82
  6. Step 6: Final answer
    x = 248.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.