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Finding the Fourth Proportional to 164.30, 246.48 and 68.18

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Solution

The fourth proportional to 164.30, 246.48 and 68.18 is: 102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.30 : 246.48 = 68.18 : x
  2. Step 2: Convert to fraction form
    164.30/246.48 = 68.18/x
  3. Step 3: Cross multiply
    164.30x = 246.48 × 68.18
  4. Step 4: Simplify right side
    164.30x = 16,805.01
  5. Step 5: Solve for x
    x = 16,805.01/164.30
  6. Step 6: Final answer
    x = 102.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.