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Finding the Fourth Proportional to 369.78, 510.30 and 203.99

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Solution

The fourth proportional to 369.78, 510.30 and 203.99 is: 281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 510.30 = 203.99 : x
  2. Step 2: Convert to fraction form
    369.78/510.30 = 203.99/x
  3. Step 3: Cross multiply
    369.78x = 510.30 × 203.99
  4. Step 4: Simplify right side
    369.78x = 104,093.55
  5. Step 5: Solve for x
    x = 104,093.55/369.78
  6. Step 6: Final answer
    x = 281.50

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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.