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Finding the Fourth Proportional to 164.36, 228.39 and 162.41

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Solution

The fourth proportional to 164.36, 228.39 and 162.41 is: 225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.36 : 228.39 = 162.41 : x
  2. Step 2: Convert to fraction form
    164.36/228.39 = 162.41/x
  3. Step 3: Cross multiply
    164.36x = 228.39 × 162.41
  4. Step 4: Simplify right side
    164.36x = 37,091.07
  5. Step 5: Solve for x
    x = 37,091.07/164.36
  6. Step 6: Final answer
    x = 225.67

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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.