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Finding the Fourth Proportional to 164.34, 228.35 and 162.67

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Solution

The fourth proportional to 164.34, 228.35 and 162.67 is: 226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.34 : 228.35 = 162.67 : x
  2. Step 2: Convert to fraction form
    164.34/228.35 = 162.67/x
  3. Step 3: Cross multiply
    164.34x = 228.35 × 162.67
  4. Step 4: Simplify right side
    164.34x = 37,145.69
  5. Step 5: Solve for x
    x = 37,145.69/164.34
  6. Step 6: Final answer
    x = 226.03

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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.