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Finding the Fourth Proportional to 258.45, 387.97 and 136.95

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Solution

The fourth proportional to 258.45, 387.97 and 136.95 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.45 : 387.97 = 136.95 : x
  2. Step 2: Convert to fraction form
    258.45/387.97 = 136.95/x
  3. Step 3: Cross multiply
    258.45x = 387.97 × 136.95
  4. Step 4: Simplify right side
    258.45x = 53,132.49
  5. Step 5: Solve for x
    x = 53,132.49/258.45
  6. Step 6: Final answer
    x = 205.58

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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.