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Finding the Fourth Proportional to 259.11, 357.56 and 142.67

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Solution

The fourth proportional to 259.11, 357.56 and 142.67 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.11 : 357.56 = 142.67 : x
  2. Step 2: Convert to fraction form
    259.11/357.56 = 142.67/x
  3. Step 3: Cross multiply
    259.11x = 357.56 × 142.67
  4. Step 4: Simplify right side
    259.11x = 51,010.58
  5. Step 5: Solve for x
    x = 51,010.58/259.11
  6. Step 6: Final answer
    x = 196.87

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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.