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Finding the Fourth Proportional to 193.63, 288.24 and 184.78

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Solution

The fourth proportional to 193.63, 288.24 and 184.78 is: 275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.63 : 288.24 = 184.78 : x
  2. Step 2: Convert to fraction form
    193.63/288.24 = 184.78/x
  3. Step 3: Cross multiply
    193.63x = 288.24 × 184.78
  4. Step 4: Simplify right side
    193.63x = 53,258.62
  5. Step 5: Solve for x
    x = 53,258.62/193.63
  6. Step 6: Final answer
    x = 275.06

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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.