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Finding the Fourth Proportional to 301.27, 451.89 and 106.20

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Solution

The fourth proportional to 301.27, 451.89 and 106.20 is: 159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.27 : 451.89 = 106.20 : x
  2. Step 2: Convert to fraction form
    301.27/451.89 = 106.20/x
  3. Step 3: Cross multiply
    301.27x = 451.89 × 106.20
  4. Step 4: Simplify right side
    301.27x = 47,989.02
  5. Step 5: Solve for x
    x = 47,989.02/301.27
  6. Step 6: Final answer
    x = 159.29

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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.