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Finding the Fourth Proportional to 369.89, 510.49 and 204.12

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Solution

The fourth proportional to 369.89, 510.49 and 204.12 is: 281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.89 : 510.49 = 204.12 : x
  2. Step 2: Convert to fraction form
    369.89/510.49 = 204.12/x
  3. Step 3: Cross multiply
    369.89x = 510.49 × 204.12
  4. Step 4: Simplify right side
    369.89x = 104,201.19
  5. Step 5: Solve for x
    x = 104,201.19/369.89
  6. Step 6: Final answer
    x = 281.71

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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.