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Finding the Fourth Proportional to 259.09, 388.70 and 114.77

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Solution

The fourth proportional to 259.09, 388.70 and 114.77 is: 172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.09 : 388.70 = 114.77 : x
  2. Step 2: Convert to fraction form
    259.09/388.70 = 114.77/x
  3. Step 3: Cross multiply
    259.09x = 388.70 × 114.77
  4. Step 4: Simplify right side
    259.09x = 44,611.10
  5. Step 5: Solve for x
    x = 44,611.10/259.09
  6. Step 6: Final answer
    x = 172.18

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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.