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Finding the Fourth Proportional to 258.84, 388.18 and 170.99

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Solution

The fourth proportional to 258.84, 388.18 and 170.99 is: 256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.84 : 388.18 = 170.99 : x
  2. Step 2: Convert to fraction form
    258.84/388.18 = 170.99/x
  3. Step 3: Cross multiply
    258.84x = 388.18 × 170.99
  4. Step 4: Simplify right side
    258.84x = 66,374.90
  5. Step 5: Solve for x
    x = 66,374.90/258.84
  6. Step 6: Final answer
    x = 256.43

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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.