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Finding the Fourth Proportional to 302.39, 453.81 and 221.44

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Solution

The fourth proportional to 302.39, 453.81 and 221.44 is: 332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.39 : 453.81 = 221.44 : x
  2. Step 2: Convert to fraction form
    302.39/453.81 = 221.44/x
  3. Step 3: Cross multiply
    302.39x = 453.81 × 221.44
  4. Step 4: Simplify right side
    302.39x = 100,490.55
  5. Step 5: Solve for x
    x = 100,490.55/302.39
  6. Step 6: Final answer
    x = 332.33

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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.