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Finding the Fourth Proportional to 164.43, 245.97 and 130.41

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Solution

The fourth proportional to 164.43, 245.97 and 130.41 is: 195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.43 : 245.97 = 130.41 : x
  2. Step 2: Convert to fraction form
    164.43/245.97 = 130.41/x
  3. Step 3: Cross multiply
    164.43x = 245.97 × 130.41
  4. Step 4: Simplify right side
    164.43x = 32,076.95
  5. Step 5: Solve for x
    x = 32,076.95/164.43
  6. Step 6: Final answer
    x = 195.08

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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.