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Finding the Fourth Proportional to 259.12, 357.42 and 185.41

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Solution

The fourth proportional to 259.12, 357.42 and 185.41 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.12 : 357.42 = 185.41 : x
  2. Step 2: Convert to fraction form
    259.12/357.42 = 185.41/x
  3. Step 3: Cross multiply
    259.12x = 357.42 × 185.41
  4. Step 4: Simplify right side
    259.12x = 66,269.24
  5. Step 5: Solve for x
    x = 66,269.24/259.12
  6. Step 6: Final answer
    x = 255.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.