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Finding the Fourth Proportional to 201.58, 302.27 and 174.65

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Solution

The fourth proportional to 201.58, 302.27 and 174.65 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 302.27 = 174.65 : x
  2. Step 2: Convert to fraction form
    201.58/302.27 = 174.65/x
  3. Step 3: Cross multiply
    201.58x = 302.27 × 174.65
  4. Step 4: Simplify right side
    201.58x = 52,789.07
  5. Step 5: Solve for x
    x = 52,789.07/201.58
  6. Step 6: Final answer
    x = 261.88

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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.