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Finding the Fourth Proportional to 369.98, 510.56 and 204.19

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Solution

The fourth proportional to 369.98, 510.56 and 204.19 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.98 : 510.56 = 204.19 : x
  2. Step 2: Convert to fraction form
    369.98/510.56 = 204.19/x
  3. Step 3: Cross multiply
    369.98x = 510.56 × 204.19
  4. Step 4: Simplify right side
    369.98x = 104,251.25
  5. Step 5: Solve for x
    x = 104,251.25/369.98
  6. Step 6: Final answer
    x = 281.78

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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.