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Finding the Fourth Proportional to 201.58, 302.02 and 194.08

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Solution

The fourth proportional to 201.58, 302.02 and 194.08 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 302.02 = 194.08 : x
  2. Step 2: Convert to fraction form
    201.58/302.02 = 194.08/x
  3. Step 3: Cross multiply
    201.58x = 302.02 × 194.08
  4. Step 4: Simplify right side
    201.58x = 58,616.04
  5. Step 5: Solve for x
    x = 58,616.04/201.58
  6. Step 6: Final answer
    x = 290.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.