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Finding the Fourth Proportional to 199.81, 275.83 and 134.36

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Solution

The fourth proportional to 199.81, 275.83 and 134.36 is: 185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.81 : 275.83 = 134.36 : x
  2. Step 2: Convert to fraction form
    199.81/275.83 = 134.36/x
  3. Step 3: Cross multiply
    199.81x = 275.83 × 134.36
  4. Step 4: Simplify right side
    199.81x = 37,060.52
  5. Step 5: Solve for x
    x = 37,060.52/199.81
  6. Step 6: Final answer
    x = 185.48

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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.