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Finding the Fourth Proportional to 201.54, 303.62 and 199.02

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Solution

The fourth proportional to 201.54, 303.62 and 199.02 is: 299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.54 : 303.62 = 199.02 : x
  2. Step 2: Convert to fraction form
    201.54/303.62 = 199.02/x
  3. Step 3: Cross multiply
    201.54x = 303.62 × 199.02
  4. Step 4: Simplify right side
    201.54x = 60,424.32
  5. Step 5: Solve for x
    x = 60,424.32/201.54
  6. Step 6: Final answer
    x = 299.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.