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Finding the Fourth Proportional to 297.90, 411.18 and 204.66

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Solution

The fourth proportional to 297.90, 411.18 and 204.66 is: 282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.90 : 411.18 = 204.66 : x
  2. Step 2: Convert to fraction form
    297.90/411.18 = 204.66/x
  3. Step 3: Cross multiply
    297.90x = 411.18 × 204.66
  4. Step 4: Simplify right side
    297.90x = 84,152.10
  5. Step 5: Solve for x
    x = 84,152.10/297.90
  6. Step 6: Final answer
    x = 282.48

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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.