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Finding the Fourth Proportional to 228.91, 343.12 and 164.59

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Solution

The fourth proportional to 228.91, 343.12 and 164.59 is: 246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.91 : 343.12 = 164.59 : x
  2. Step 2: Convert to fraction form
    228.91/343.12 = 164.59/x
  3. Step 3: Cross multiply
    228.91x = 343.12 × 164.59
  4. Step 4: Simplify right side
    228.91x = 56,474.12
  5. Step 5: Solve for x
    x = 56,474.12/228.91
  6. Step 6: Final answer
    x = 246.71

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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.