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Finding the Fourth Proportional to 238.80, 358.68 and 195.54

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Solution

The fourth proportional to 238.80, 358.68 and 195.54 is: 293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.80 : 358.68 = 195.54 : x
  2. Step 2: Convert to fraction form
    238.80/358.68 = 195.54/x
  3. Step 3: Cross multiply
    238.80x = 358.68 × 195.54
  4. Step 4: Simplify right side
    238.80x = 70,136.29
  5. Step 5: Solve for x
    x = 70,136.29/238.80
  6. Step 6: Final answer
    x = 293.70

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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.