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Finding the Fourth Proportional to 258, 388.94 and 254.16

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Solution

The fourth proportional to 258, 388.94 and 254.16 is: 383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 388.94 = 254.16 : x
  2. Step 2: Convert to fraction form
    258/388.94 = 254.16/x
  3. Step 3: Cross multiply
    258x = 388.94 × 254.16
  4. Step 4: Simplify right side
    258x = 98,852.99
  5. Step 5: Solve for x
    x = 98,852.99/258
  6. Step 6: Final answer
    x = 383.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.