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Finding the Fourth Proportional to 287.89, 397.26 and 163.54

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Solution

The fourth proportional to 287.89, 397.26 and 163.54 is: 225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.89 : 397.26 = 163.54 : x
  2. Step 2: Convert to fraction form
    287.89/397.26 = 163.54/x
  3. Step 3: Cross multiply
    287.89x = 397.26 × 163.54
  4. Step 4: Simplify right side
    287.89x = 64,967.90
  5. Step 5: Solve for x
    x = 64,967.90/287.89
  6. Step 6: Final answer
    x = 225.67

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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.