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Finding the Fourth Proportional to 259.16, 388.81 and 105.05

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Solution

The fourth proportional to 259.16, 388.81 and 105.05 is: 157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.16 : 388.81 = 105.05 : x
  2. Step 2: Convert to fraction form
    259.16/388.81 = 105.05/x
  3. Step 3: Cross multiply
    259.16x = 388.81 × 105.05
  4. Step 4: Simplify right side
    259.16x = 40,844.49
  5. Step 5: Solve for x
    x = 40,844.49/259.16
  6. Step 6: Final answer
    x = 157.60

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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.