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Finding the Fourth Proportional to 238.37, 357.02 and 195.17

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Solution

The fourth proportional to 238.37, 357.02 and 195.17 is: 292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.37 : 357.02 = 195.17 : x
  2. Step 2: Convert to fraction form
    238.37/357.02 = 195.17/x
  3. Step 3: Cross multiply
    238.37x = 357.02 × 195.17
  4. Step 4: Simplify right side
    238.37x = 69,678.62
  5. Step 5: Solve for x
    x = 69,678.62/238.37
  6. Step 6: Final answer
    x = 292.31

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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.