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Finding the Fourth Proportional to 164.46, 226.98 and 102.30

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Solution

The fourth proportional to 164.46, 226.98 and 102.30 is: 141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.46 : 226.98 = 102.30 : x
  2. Step 2: Convert to fraction form
    164.46/226.98 = 102.30/x
  3. Step 3: Cross multiply
    164.46x = 226.98 × 102.30
  4. Step 4: Simplify right side
    164.46x = 23,220.05
  5. Step 5: Solve for x
    x = 23,220.05/164.46
  6. Step 6: Final answer
    x = 141.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.