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Finding the Fourth Proportional to 297.23, 409.86 and 204.11

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Solution

The fourth proportional to 297.23, 409.86 and 204.11 is: 281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.23 : 409.86 = 204.11 : x
  2. Step 2: Convert to fraction form
    297.23/409.86 = 204.11/x
  3. Step 3: Cross multiply
    297.23x = 409.86 × 204.11
  4. Step 4: Simplify right side
    297.23x = 83,656.01
  5. Step 5: Solve for x
    x = 83,656.01/297.23
  6. Step 6: Final answer
    x = 281.45

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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.