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Finding the Fourth Proportional to 260.70, 359.76 and 144.26

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Solution

The fourth proportional to 260.70, 359.76 and 144.26 is: 199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.70 : 359.76 = 144.26 : x
  2. Step 2: Convert to fraction form
    260.70/359.76 = 144.26/x
  3. Step 3: Cross multiply
    260.70x = 359.76 × 144.26
  4. Step 4: Simplify right side
    260.70x = 51,898.53
  5. Step 5: Solve for x
    x = 51,898.53/260.70
  6. Step 6: Final answer
    x = 199.08

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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.