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Finding the Fourth Proportional to 258.98, 388.38 and 114.62

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Solution

The fourth proportional to 258.98, 388.38 and 114.62 is: 171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.98 : 388.38 = 114.62 : x
  2. Step 2: Convert to fraction form
    258.98/388.38 = 114.62/x
  3. Step 3: Cross multiply
    258.98x = 388.38 × 114.62
  4. Step 4: Simplify right side
    258.98x = 44,516.12
  5. Step 5: Solve for x
    x = 44,516.12/258.98
  6. Step 6: Final answer
    x = 171.89

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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.