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Finding the Fourth Proportional to 301.90, 453.21 and 180.22

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Solution

The fourth proportional to 301.90, 453.21 and 180.22 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.90 : 453.21 = 180.22 : x
  2. Step 2: Convert to fraction form
    301.90/453.21 = 180.22/x
  3. Step 3: Cross multiply
    301.90x = 453.21 × 180.22
  4. Step 4: Simplify right side
    301.90x = 81,674.34
  5. Step 5: Solve for x
    x = 81,674.34/301.90
  6. Step 6: Final answer
    x = 270.54

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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.