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Finding the Fourth Proportional to 228.69, 343 and 106.87

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Solution

The fourth proportional to 228.69, 343 and 106.87 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.69 : 343 = 106.87 : x
  2. Step 2: Convert to fraction form
    228.69/343 = 106.87/x
  3. Step 3: Cross multiply
    228.69x = 343 × 106.87
  4. Step 4: Simplify right side
    228.69x = 36,656.41
  5. Step 5: Solve for x
    x = 36,656.41/228.69
  6. Step 6: Final answer
    x = 160.29

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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.