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Finding the Fourth Proportional to 301.11, 451.74 and 184.11

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Solution

The fourth proportional to 301.11, 451.74 and 184.11 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.11 : 451.74 = 184.11 : x
  2. Step 2: Convert to fraction form
    301.11/451.74 = 184.11/x
  3. Step 3: Cross multiply
    301.11x = 451.74 × 184.11
  4. Step 4: Simplify right side
    301.11x = 83,168.85
  5. Step 5: Solve for x
    x = 83,168.85/301.11
  6. Step 6: Final answer
    x = 276.21

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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.