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Finding the Fourth Proportional to 238.78, 357.54 and 130.42

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Solution

The fourth proportional to 238.78, 357.54 and 130.42 is: 195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 357.54 = 130.42 : x
  2. Step 2: Convert to fraction form
    238.78/357.54 = 130.42/x
  3. Step 3: Cross multiply
    238.78x = 357.54 × 130.42
  4. Step 4: Simplify right side
    238.78x = 46,630.37
  5. Step 5: Solve for x
    x = 46,630.37/238.78
  6. Step 6: Final answer
    x = 195.29

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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.