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Finding the Fourth Proportional to 552.22, 828.33 and 162.23

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Solution

The fourth proportional to 552.22, 828.33 and 162.23 is: 243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.22 : 828.33 = 162.23 : x
  2. Step 2: Convert to fraction form
    552.22/828.33 = 162.23/x
  3. Step 3: Cross multiply
    552.22x = 828.33 × 162.23
  4. Step 4: Simplify right side
    552.22x = 134,378.92
  5. Step 5: Solve for x
    x = 134,378.92/552.22
  6. Step 6: Final answer
    x = 243.34

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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.