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Finding the Fourth Proportional to 260.52, 359.62 and 238.76

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Solution

The fourth proportional to 260.52, 359.62 and 238.76 is: 329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.52 : 359.62 = 238.76 : x
  2. Step 2: Convert to fraction form
    260.52/359.62 = 238.76/x
  3. Step 3: Cross multiply
    260.52x = 359.62 × 238.76
  4. Step 4: Simplify right side
    260.52x = 85,862.87
  5. Step 5: Solve for x
    x = 85,862.87/260.52
  6. Step 6: Final answer
    x = 329.58

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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.