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Finding the Fourth Proportional to 259, 357.42 and 142.57

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Solution

The fourth proportional to 259, 357.42 and 142.57 is: 196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 357.42 = 142.57 : x
  2. Step 2: Convert to fraction form
    259/357.42 = 142.57/x
  3. Step 3: Cross multiply
    259x = 357.42 × 142.57
  4. Step 4: Simplify right side
    259x = 50,957.37
  5. Step 5: Solve for x
    x = 50,957.37/259
  6. Step 6: Final answer
    x = 196.75

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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.