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Finding the Fourth Proportional to 258.87, 388.08 and 96.45

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Solution

The fourth proportional to 258.87, 388.08 and 96.45 is: 144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.87 : 388.08 = 96.45 : x
  2. Step 2: Convert to fraction form
    258.87/388.08 = 96.45/x
  3. Step 3: Cross multiply
    258.87x = 388.08 × 96.45
  4. Step 4: Simplify right side
    258.87x = 37,430.32
  5. Step 5: Solve for x
    x = 37,430.32/258.87
  6. Step 6: Final answer
    x = 144.59

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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.