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Finding the Fourth Proportional to 369.97, 510.59 and 204.22

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Solution

The fourth proportional to 369.97, 510.59 and 204.22 is: 281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.97 : 510.59 = 204.22 : x
  2. Step 2: Convert to fraction form
    369.97/510.59 = 204.22/x
  3. Step 3: Cross multiply
    369.97x = 510.59 × 204.22
  4. Step 4: Simplify right side
    369.97x = 104,270.14
  5. Step 5: Solve for x
    x = 104,270.14/369.97
  6. Step 6: Final answer
    x = 281.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.