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Finding the Fourth Proportional to 301.38, 452.12 and 147.41

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Solution

The fourth proportional to 301.38, 452.12 and 147.41 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.38 : 452.12 = 147.41 : x
  2. Step 2: Convert to fraction form
    301.38/452.12 = 147.41/x
  3. Step 3: Cross multiply
    301.38x = 452.12 × 147.41
  4. Step 4: Simplify right side
    301.38x = 66,648.51
  5. Step 5: Solve for x
    x = 66,648.51/301.38
  6. Step 6: Final answer
    x = 221.14

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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.