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Finding the Fourth Proportional to 258.85, 388.32 and 137.08

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Solution

The fourth proportional to 258.85, 388.32 and 137.08 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.85 : 388.32 = 137.08 : x
  2. Step 2: Convert to fraction form
    258.85/388.32 = 137.08/x
  3. Step 3: Cross multiply
    258.85x = 388.32 × 137.08
  4. Step 4: Simplify right side
    258.85x = 53,229.46
  5. Step 5: Solve for x
    x = 53,229.46/258.85
  6. Step 6: Final answer
    x = 205.64

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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.