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Finding the Fourth Proportional to 228.60, 342.78 and 106.86

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Solution

The fourth proportional to 228.60, 342.78 and 106.86 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.60 : 342.78 = 106.86 : x
  2. Step 2: Convert to fraction form
    228.60/342.78 = 106.86/x
  3. Step 3: Cross multiply
    228.60x = 342.78 × 106.86
  4. Step 4: Simplify right side
    228.60x = 36,629.47
  5. Step 5: Solve for x
    x = 36,629.47/228.60
  6. Step 6: Final answer
    x = 160.23

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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.