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Finding the Fourth Proportional to 164.17, 246.27 and 42.43

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Solution

The fourth proportional to 164.17, 246.27 and 42.43 is: 63.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.17 : 246.27 = 42.43 : x
  2. Step 2: Convert to fraction form
    164.17/246.27 = 42.43/x
  3. Step 3: Cross multiply
    164.17x = 246.27 × 42.43
  4. Step 4: Simplify right side
    164.17x = 10,449.24
  5. Step 5: Solve for x
    x = 10,449.24/164.17
  6. Step 6: Final answer
    x = 63.65

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