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Finding the Fourth Proportional to 201.66, 302.80 and 193

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Solution

The fourth proportional to 201.66, 302.80 and 193 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.66 : 302.80 = 193 : x
  2. Step 2: Convert to fraction form
    201.66/302.80 = 193/x
  3. Step 3: Cross multiply
    201.66x = 302.80 × 193
  4. Step 4: Simplify right side
    201.66x = 58,440.40
  5. Step 5: Solve for x
    x = 58,440.40/201.66
  6. Step 6: Final answer
    x = 289.80

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