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Finding the Fourth Proportional to 199.48, 273.50 and 194.08

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Solution

The fourth proportional to 199.48, 273.50 and 194.08 is: 266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.48 : 273.50 = 194.08 : x
  2. Step 2: Convert to fraction form
    199.48/273.50 = 194.08/x
  3. Step 3: Cross multiply
    199.48x = 273.50 × 194.08
  4. Step 4: Simplify right side
    199.48x = 53,080.88
  5. Step 5: Solve for x
    x = 53,080.88/199.48
  6. Step 6: Final answer
    x = 266.10

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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.