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Finding the Fourth Proportional to 258.79, 388.14 and 85.43

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Solution

The fourth proportional to 258.79, 388.14 and 85.43 is: 128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.79 : 388.14 = 85.43 : x
  2. Step 2: Convert to fraction form
    258.79/388.14 = 85.43/x
  3. Step 3: Cross multiply
    258.79x = 388.14 × 85.43
  4. Step 4: Simplify right side
    258.79x = 33,158.80
  5. Step 5: Solve for x
    x = 33,158.80/258.79
  6. Step 6: Final answer
    x = 128.13

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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.