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Finding the Fourth Proportional to 258.52, 388.14 and 136.84

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Solution

The fourth proportional to 258.52, 388.14 and 136.84 is: 205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.52 : 388.14 = 136.84 : x
  2. Step 2: Convert to fraction form
    258.52/388.14 = 136.84/x
  3. Step 3: Cross multiply
    258.52x = 388.14 × 136.84
  4. Step 4: Simplify right side
    258.52x = 53,113.08
  5. Step 5: Solve for x
    x = 53,113.08/258.52
  6. Step 6: Final answer
    x = 205.45

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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.