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Finding the Fourth Proportional to 369.83, 510.36 and 201.78

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Solution

The fourth proportional to 369.83, 510.36 and 201.78 is: 278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.83 : 510.36 = 201.78 : x
  2. Step 2: Convert to fraction form
    369.83/510.36 = 201.78/x
  3. Step 3: Cross multiply
    369.83x = 510.36 × 201.78
  4. Step 4: Simplify right side
    369.83x = 102,980.44
  5. Step 5: Solve for x
    x = 102,980.44/369.83
  6. Step 6: Final answer
    x = 278.45

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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.