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Finding the Fourth Proportional to 164.64, 247 and 163.20

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Solution

The fourth proportional to 164.64, 247 and 163.20 is: 244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.64 : 247 = 163.20 : x
  2. Step 2: Convert to fraction form
    164.64/247 = 163.20/x
  3. Step 3: Cross multiply
    164.64x = 247 × 163.20
  4. Step 4: Simplify right side
    164.64x = 40,310.40
  5. Step 5: Solve for x
    x = 40,310.40/164.64
  6. Step 6: Final answer
    x = 244.84

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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.