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Finding the Fourth Proportional to 301.38, 451.95 and 178.01

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Solution

The fourth proportional to 301.38, 451.95 and 178.01 is: 266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.38 : 451.95 = 178.01 : x
  2. Step 2: Convert to fraction form
    301.38/451.95 = 178.01/x
  3. Step 3: Cross multiply
    301.38x = 451.95 × 178.01
  4. Step 4: Simplify right side
    301.38x = 80,451.62
  5. Step 5: Solve for x
    x = 80,451.62/301.38
  6. Step 6: Final answer
    x = 266.94

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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.