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Finding the Fourth Proportional to 164.22, 246.34 and 42.48

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Solution

The fourth proportional to 164.22, 246.34 and 42.48 is: 63.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.22 : 246.34 = 42.48 : x
  2. Step 2: Convert to fraction form
    164.22/246.34 = 42.48/x
  3. Step 3: Cross multiply
    164.22x = 246.34 × 42.48
  4. Step 4: Simplify right side
    164.22x = 10,464.93
  5. Step 5: Solve for x
    x = 10,464.93/164.22
  6. Step 6: Final answer
    x = 63.72

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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.