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Finding the Fourth Proportional to 259.82, 388.54 and 194.86

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Solution

The fourth proportional to 259.82, 388.54 and 194.86 is: 291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.82 : 388.54 = 194.86 : x
  2. Step 2: Convert to fraction form
    259.82/388.54 = 194.86/x
  3. Step 3: Cross multiply
    259.82x = 388.54 × 194.86
  4. Step 4: Simplify right side
    259.82x = 75,710.90
  5. Step 5: Solve for x
    x = 75,710.90/259.82
  6. Step 6: Final answer
    x = 291.40

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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.