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Finding the Fourth Proportional to 228.44, 342.42 and 106.60

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Solution

The fourth proportional to 228.44, 342.42 and 106.60 is: 159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.44 : 342.42 = 106.60 : x
  2. Step 2: Convert to fraction form
    228.44/342.42 = 106.60/x
  3. Step 3: Cross multiply
    228.44x = 342.42 × 106.60
  4. Step 4: Simplify right side
    228.44x = 36,501.44
  5. Step 5: Solve for x
    x = 36,501.44/228.44
  6. Step 6: Final answer
    x = 159.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.