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Finding the Fourth Proportional to 259.68, 388.07 and 205

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Solution

The fourth proportional to 259.68, 388.07 and 205 is: 306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.68 : 388.07 = 205 : x
  2. Step 2: Convert to fraction form
    259.68/388.07 = 205/x
  3. Step 3: Cross multiply
    259.68x = 388.07 × 205
  4. Step 4: Simplify right side
    259.68x = 79,554.35
  5. Step 5: Solve for x
    x = 79,554.35/259.68
  6. Step 6: Final answer
    x = 306.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.