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Finding the Fourth Proportional to 260.57, 359.57 and 144.13

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Solution

The fourth proportional to 260.57, 359.57 and 144.13 is: 198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.57 : 359.57 = 144.13 : x
  2. Step 2: Convert to fraction form
    260.57/359.57 = 144.13/x
  3. Step 3: Cross multiply
    260.57x = 359.57 × 144.13
  4. Step 4: Simplify right side
    260.57x = 51,823.03
  5. Step 5: Solve for x
    x = 51,823.03/260.57
  6. Step 6: Final answer
    x = 198.88

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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.