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Finding the Fourth Proportional to 201.98, 304.24 and 190.40

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Solution

The fourth proportional to 201.98, 304.24 and 190.40 is: 286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.98 : 304.24 = 190.40 : x
  2. Step 2: Convert to fraction form
    201.98/304.24 = 190.40/x
  3. Step 3: Cross multiply
    201.98x = 304.24 × 190.40
  4. Step 4: Simplify right side
    201.98x = 57,926.34
  5. Step 5: Solve for x
    x = 57,926.34/201.98
  6. Step 6: Final answer
    x = 286.79

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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.