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Finding the Fourth Proportional to 301.48, 452.22 and 174.04

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Solution

The fourth proportional to 301.48, 452.22 and 174.04 is: 261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.48 : 452.22 = 174.04 : x
  2. Step 2: Convert to fraction form
    301.48/452.22 = 174.04/x
  3. Step 3: Cross multiply
    301.48x = 452.22 × 174.04
  4. Step 4: Simplify right side
    301.48x = 78,704.37
  5. Step 5: Solve for x
    x = 78,704.37/301.48
  6. Step 6: Final answer
    x = 261.06

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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.