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Finding the Fourth Proportional to 259.24, 357.75 and 141.21

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Solution

The fourth proportional to 259.24, 357.75 and 141.21 is: 194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.24 : 357.75 = 141.21 : x
  2. Step 2: Convert to fraction form
    259.24/357.75 = 141.21/x
  3. Step 3: Cross multiply
    259.24x = 357.75 × 141.21
  4. Step 4: Simplify right side
    259.24x = 50,516.09
  5. Step 5: Solve for x
    x = 50,516.09/259.24
  6. Step 6: Final answer
    x = 194.86

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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.