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Finding the Fourth Proportional to 259.56, 388.44 and 187.56

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Solution

The fourth proportional to 259.56, 388.44 and 187.56 is: 280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.56 : 388.44 = 187.56 : x
  2. Step 2: Convert to fraction form
    259.56/388.44 = 187.56/x
  3. Step 3: Cross multiply
    259.56x = 388.44 × 187.56
  4. Step 4: Simplify right side
    259.56x = 72,855.81
  5. Step 5: Solve for x
    x = 72,855.81/259.56
  6. Step 6: Final answer
    x = 280.69

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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.