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Finding the Fourth Proportional to 259.14, 357.63 and 141.12

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Solution

The fourth proportional to 259.14, 357.63 and 141.12 is: 194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.14 : 357.63 = 141.12 : x
  2. Step 2: Convert to fraction form
    259.14/357.63 = 141.12/x
  3. Step 3: Cross multiply
    259.14x = 357.63 × 141.12
  4. Step 4: Simplify right side
    259.14x = 50,469.76
  5. Step 5: Solve for x
    x = 50,469.76/259.14
  6. Step 6: Final answer
    x = 194.76

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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.