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Finding the Fourth Proportional to 260.24, 359.13 and 142.21

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Solution

The fourth proportional to 260.24, 359.13 and 142.21 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.24 : 359.13 = 142.21 : x
  2. Step 2: Convert to fraction form
    260.24/359.13 = 142.21/x
  3. Step 3: Cross multiply
    260.24x = 359.13 × 142.21
  4. Step 4: Simplify right side
    260.24x = 51,071.88
  5. Step 5: Solve for x
    x = 51,071.88/260.24
  6. Step 6: Final answer
    x = 196.25

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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.