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Finding the Fourth Proportional to 258.51, 387.78 and 96.17

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Solution

The fourth proportional to 258.51, 387.78 and 96.17 is: 144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.51 : 387.78 = 96.17 : x
  2. Step 2: Convert to fraction form
    258.51/387.78 = 96.17/x
  3. Step 3: Cross multiply
    258.51x = 387.78 × 96.17
  4. Step 4: Simplify right side
    258.51x = 37,292.80
  5. Step 5: Solve for x
    x = 37,292.80/258.51
  6. Step 6: Final answer
    x = 144.26

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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.