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Finding the Fourth Proportional to 298.24, 410.93 and 204.88

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Solution

The fourth proportional to 298.24, 410.93 and 204.88 is: 282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.24 : 410.93 = 204.88 : x
  2. Step 2: Convert to fraction form
    298.24/410.93 = 204.88/x
  3. Step 3: Cross multiply
    298.24x = 410.93 × 204.88
  4. Step 4: Simplify right side
    298.24x = 84,191.34
  5. Step 5: Solve for x
    x = 84,191.34/298.24
  6. Step 6: Final answer
    x = 282.29

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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.