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Finding the Fourth Proportional to 259.19, 388.80 and 105.20

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Solution

The fourth proportional to 259.19, 388.80 and 105.20 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.19 : 388.80 = 105.20 : x
  2. Step 2: Convert to fraction form
    259.19/388.80 = 105.20/x
  3. Step 3: Cross multiply
    259.19x = 388.80 × 105.20
  4. Step 4: Simplify right side
    259.19x = 40,899.82
  5. Step 5: Solve for x
    x = 40,899.82/259.19
  6. Step 6: Final answer
    x = 157.80

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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.