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Finding the Fourth Proportional to 228.44, 342.39 and 106.44

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Solution

The fourth proportional to 228.44, 342.39 and 106.44 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.44 : 342.39 = 106.44 : x
  2. Step 2: Convert to fraction form
    228.44/342.39 = 106.44/x
  3. Step 3: Cross multiply
    228.44x = 342.39 × 106.44
  4. Step 4: Simplify right side
    228.44x = 36,443.99
  5. Step 5: Solve for x
    x = 36,443.99/228.44
  6. Step 6: Final answer
    x = 159.53

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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.