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Finding the Fourth Proportional to 298, 410.90 and 204.76

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Solution

The fourth proportional to 298, 410.90 and 204.76 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 410.90 = 204.76 : x
  2. Step 2: Convert to fraction form
    298/410.90 = 204.76/x
  3. Step 3: Cross multiply
    298x = 410.90 × 204.76
  4. Step 4: Simplify right side
    298x = 84,135.88
  5. Step 5: Solve for x
    x = 84,135.88/298
  6. Step 6: Final answer
    x = 282.34

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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.