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Finding the Fourth Proportional to 260.72, 359.81 and 144.28

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Solution

The fourth proportional to 260.72, 359.81 and 144.28 is: 199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.72 : 359.81 = 144.28 : x
  2. Step 2: Convert to fraction form
    260.72/359.81 = 144.28/x
  3. Step 3: Cross multiply
    260.72x = 359.81 × 144.28
  4. Step 4: Simplify right side
    260.72x = 51,913.66
  5. Step 5: Solve for x
    x = 51,913.66/260.72
  6. Step 6: Final answer
    x = 199.12

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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.