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Finding the Fourth Proportional to 259.14, 357.60 and 142.71

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Solution

The fourth proportional to 259.14, 357.60 and 142.71 is: 196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.14 : 357.60 = 142.71 : x
  2. Step 2: Convert to fraction form
    259.14/357.60 = 142.71/x
  3. Step 3: Cross multiply
    259.14x = 357.60 × 142.71
  4. Step 4: Simplify right side
    259.14x = 51,033.10
  5. Step 5: Solve for x
    x = 51,033.10/259.14
  6. Step 6: Final answer
    x = 196.93

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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.