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Finding the Fourth Proportional to 259.58, 388.62 and 168.32

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Solution

The fourth proportional to 259.58, 388.62 and 168.32 is: 251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.58 : 388.62 = 168.32 : x
  2. Step 2: Convert to fraction form
    259.58/388.62 = 168.32/x
  3. Step 3: Cross multiply
    259.58x = 388.62 × 168.32
  4. Step 4: Simplify right side
    259.58x = 65,412.52
  5. Step 5: Solve for x
    x = 65,412.52/259.58
  6. Step 6: Final answer
    x = 251.99

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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.