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Finding the Fourth Proportional to 302.54, 453.99 and 163.82

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Solution

The fourth proportional to 302.54, 453.99 and 163.82 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 453.99 = 163.82 : x
  2. Step 2: Convert to fraction form
    302.54/453.99 = 163.82/x
  3. Step 3: Cross multiply
    302.54x = 453.99 × 163.82
  4. Step 4: Simplify right side
    302.54x = 74,371.82
  5. Step 5: Solve for x
    x = 74,371.82/302.54
  6. Step 6: Final answer
    x = 245.82

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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.