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Finding the Fourth Proportional to 164.29, 246.58 and 66.84

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Solution

The fourth proportional to 164.29, 246.58 and 66.84 is: 100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.29 : 246.58 = 66.84 : x
  2. Step 2: Convert to fraction form
    164.29/246.58 = 66.84/x
  3. Step 3: Cross multiply
    164.29x = 246.58 × 66.84
  4. Step 4: Simplify right side
    164.29x = 16,481.88
  5. Step 5: Solve for x
    x = 16,481.88/164.29
  6. Step 6: Final answer
    x = 100.32

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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.