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Finding the Fourth Proportional to 258.80, 388.20 and 96.50

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Solution

The fourth proportional to 258.80, 388.20 and 96.50 is: 144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.80 : 388.20 = 96.50 : x
  2. Step 2: Convert to fraction form
    258.80/388.20 = 96.50/x
  3. Step 3: Cross multiply
    258.80x = 388.20 × 96.50
  4. Step 4: Simplify right side
    258.80x = 37,461.30
  5. Step 5: Solve for x
    x = 37,461.30/258.80
  6. Step 6: Final answer
    x = 144.75

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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.