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Finding the Fourth Proportional to 201.67, 302.46 and 175.21

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Solution

The fourth proportional to 201.67, 302.46 and 175.21 is: 262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.67 : 302.46 = 175.21 : x
  2. Step 2: Convert to fraction form
    201.67/302.46 = 175.21/x
  3. Step 3: Cross multiply
    201.67x = 302.46 × 175.21
  4. Step 4: Simplify right side
    201.67x = 52,994.02
  5. Step 5: Solve for x
    x = 52,994.02/201.67
  6. Step 6: Final answer
    x = 262.78

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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.