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Finding the Fourth Proportional to 393.03, 589.61 and 119.11

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Solution

The fourth proportional to 393.03, 589.61 and 119.11 is: 178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.03 : 589.61 = 119.11 : x
  2. Step 2: Convert to fraction form
    393.03/589.61 = 119.11/x
  3. Step 3: Cross multiply
    393.03x = 589.61 × 119.11
  4. Step 4: Simplify right side
    393.03x = 70,228.45
  5. Step 5: Solve for x
    x = 70,228.45/393.03
  6. Step 6: Final answer
    x = 178.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.