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Finding the Fourth Proportional to 244.22, 365.94 and 152.78

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Solution

The fourth proportional to 244.22, 365.94 and 152.78 is: 228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.22 : 365.94 = 152.78 : x
  2. Step 2: Convert to fraction form
    244.22/365.94 = 152.78/x
  3. Step 3: Cross multiply
    244.22x = 365.94 × 152.78
  4. Step 4: Simplify right side
    244.22x = 55,906.48
  5. Step 5: Solve for x
    x = 55,906.48/244.22
  6. Step 6: Final answer
    x = 228.92

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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.