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Finding the Fourth Proportional to 190.44, 263.16 and 179.64

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Solution

The fourth proportional to 190.44, 263.16 and 179.64 is: 248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.44 : 263.16 = 179.64 : x
  2. Step 2: Convert to fraction form
    190.44/263.16 = 179.64/x
  3. Step 3: Cross multiply
    190.44x = 263.16 × 179.64
  4. Step 4: Simplify right side
    190.44x = 47,274.06
  5. Step 5: Solve for x
    x = 47,274.06/190.44
  6. Step 6: Final answer
    x = 248.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.