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Finding the Fourth Proportional to 258.68, 388.08 and 137.04

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Solution

The fourth proportional to 258.68, 388.08 and 137.04 is: 205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.68 : 388.08 = 137.04 : x
  2. Step 2: Convert to fraction form
    258.68/388.08 = 137.04/x
  3. Step 3: Cross multiply
    258.68x = 388.08 × 137.04
  4. Step 4: Simplify right side
    258.68x = 53,182.48
  5. Step 5: Solve for x
    x = 53,182.48/258.68
  6. Step 6: Final answer
    x = 205.60

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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.