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Finding the Fourth Proportional to 289.50, 399.53 and 163.46

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Solution

The fourth proportional to 289.50, 399.53 and 163.46 is: 225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 399.53 = 163.46 : x
  2. Step 2: Convert to fraction form
    289.50/399.53 = 163.46/x
  3. Step 3: Cross multiply
    289.50x = 399.53 × 163.46
  4. Step 4: Simplify right side
    289.50x = 65,304.36
  5. Step 5: Solve for x
    x = 65,304.36/289.50
  6. Step 6: Final answer
    x = 225.58

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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.