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Finding the Fourth Proportional to 369.84, 510.38 and 204.05

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Solution

The fourth proportional to 369.84, 510.38 and 204.05 is: 281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 510.38 = 204.05 : x
  2. Step 2: Convert to fraction form
    369.84/510.38 = 204.05/x
  3. Step 3: Cross multiply
    369.84x = 510.38 × 204.05
  4. Step 4: Simplify right side
    369.84x = 104,143.55
  5. Step 5: Solve for x
    x = 104,143.55/369.84
  6. Step 6: Final answer
    x = 281.59

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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.