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Finding the Fourth Proportional to 280, 386.41 and 163.54

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Solution

The fourth proportional to 280, 386.41 and 163.54 is: 225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280 : 386.41 = 163.54 : x
  2. Step 2: Convert to fraction form
    280/386.41 = 163.54/x
  3. Step 3: Cross multiply
    280x = 386.41 × 163.54
  4. Step 4: Simplify right side
    280x = 63,193.49
  5. Step 5: Solve for x
    x = 63,193.49/280
  6. Step 6: Final answer
    x = 225.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.