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Finding the Fourth Proportional to 164.84, 228.91 and 163.24

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Solution

The fourth proportional to 164.84, 228.91 and 163.24 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.84 : 228.91 = 163.24 : x
  2. Step 2: Convert to fraction form
    164.84/228.91 = 163.24/x
  3. Step 3: Cross multiply
    164.84x = 228.91 × 163.24
  4. Step 4: Simplify right side
    164.84x = 37,367.27
  5. Step 5: Solve for x
    x = 37,367.27/164.84
  6. Step 6: Final answer
    x = 226.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.