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Finding the Fourth Proportional to 258.96, 388.45 and 198.46

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Solution

The fourth proportional to 258.96, 388.45 and 198.46 is: 297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.96 : 388.45 = 198.46 : x
  2. Step 2: Convert to fraction form
    258.96/388.45 = 198.46/x
  3. Step 3: Cross multiply
    258.96x = 388.45 × 198.46
  4. Step 4: Simplify right side
    258.96x = 77,091.79
  5. Step 5: Solve for x
    x = 77,091.79/258.96
  6. Step 6: Final answer
    x = 297.70

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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.