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Finding the Fourth Proportional to 183.96, 275.46 and 147.23

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Solution

The fourth proportional to 183.96, 275.46 and 147.23 is: 220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.96 : 275.46 = 147.23 : x
  2. Step 2: Convert to fraction form
    183.96/275.46 = 147.23/x
  3. Step 3: Cross multiply
    183.96x = 275.46 × 147.23
  4. Step 4: Simplify right side
    183.96x = 40,555.98
  5. Step 5: Solve for x
    x = 40,555.98/183.96
  6. Step 6: Final answer
    x = 220.46

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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.