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Finding the Fourth Proportional to 201.90, 302.96 and 174.97

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Solution

The fourth proportional to 201.90, 302.96 and 174.97 is: 262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.90 : 302.96 = 174.97 : x
  2. Step 2: Convert to fraction form
    201.90/302.96 = 174.97/x
  3. Step 3: Cross multiply
    201.90x = 302.96 × 174.97
  4. Step 4: Simplify right side
    201.90x = 53,008.91
  5. Step 5: Solve for x
    x = 53,008.91/201.90
  6. Step 6: Final answer
    x = 262.55

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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.