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Finding the Fourth Proportional to 199.48, 274.13 and 164.45

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Solution

The fourth proportional to 199.48, 274.13 and 164.45 is: 225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.48 : 274.13 = 164.45 : x
  2. Step 2: Convert to fraction form
    199.48/274.13 = 164.45/x
  3. Step 3: Cross multiply
    199.48x = 274.13 × 164.45
  4. Step 4: Simplify right side
    199.48x = 45,078.49
  5. Step 5: Solve for x
    x = 45,078.49/199.48
  6. Step 6: Final answer
    x = 225.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.