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Finding the Fourth Proportional to 259.56, 357.96 and 193.12

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Solution

The fourth proportional to 259.56, 357.96 and 193.12 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.56 : 357.96 = 193.12 : x
  2. Step 2: Convert to fraction form
    259.56/357.96 = 193.12/x
  3. Step 3: Cross multiply
    259.56x = 357.96 × 193.12
  4. Step 4: Simplify right side
    259.56x = 69,129.24
  5. Step 5: Solve for x
    x = 69,129.24/259.56
  6. Step 6: Final answer
    x = 266.33

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Why These Related Problems?

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