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Finding the Fourth Proportional to 193.41, 288.41 and 183.84

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Solution

The fourth proportional to 193.41, 288.41 and 183.84 is: 274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.41 : 288.41 = 183.84 : x
  2. Step 2: Convert to fraction form
    193.41/288.41 = 183.84/x
  3. Step 3: Cross multiply
    193.41x = 288.41 × 183.84
  4. Step 4: Simplify right side
    193.41x = 53,022.76
  5. Step 5: Solve for x
    x = 53,022.76/193.41
  6. Step 6: Final answer
    x = 274.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.