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Finding the Fourth Proportional to 258.72, 388.14 and 76.14

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Solution

The fourth proportional to 258.72, 388.14 and 76.14 is: 114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.72 : 388.14 = 76.14 : x
  2. Step 2: Convert to fraction form
    258.72/388.14 = 76.14/x
  3. Step 3: Cross multiply
    258.72x = 388.14 × 76.14
  4. Step 4: Simplify right side
    258.72x = 29,552.98
  5. Step 5: Solve for x
    x = 29,552.98/258.72
  6. Step 6: Final answer
    x = 114.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.