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Finding the Fourth Proportional to 164.40, 222.30 and 164.40

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Solution

The fourth proportional to 164.40, 222.30 and 164.40 is: 222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.40 : 222.30 = 164.40 : x
  2. Step 2: Convert to fraction form
    164.40/222.30 = 164.40/x
  3. Step 3: Cross multiply
    164.40x = 222.30 × 164.40
  4. Step 4: Simplify right side
    164.40x = 36,546.12
  5. Step 5: Solve for x
    x = 36,546.12/164.40
  6. Step 6: Final answer
    x = 222.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.