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Finding the Fourth Proportional to 259.11, 388.74 and 105.06

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Solution

The fourth proportional to 259.11, 388.74 and 105.06 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.11 : 388.74 = 105.06 : x
  2. Step 2: Convert to fraction form
    259.11/388.74 = 105.06/x
  3. Step 3: Cross multiply
    259.11x = 388.74 × 105.06
  4. Step 4: Simplify right side
    259.11x = 40,841.02
  5. Step 5: Solve for x
    x = 40,841.02/259.11
  6. Step 6: Final answer
    x = 157.62

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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.