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Finding the Fourth Proportional to 260.89, 389.27 and 243.27

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Solution

The fourth proportional to 260.89, 389.27 and 243.27 is: 362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.89 : 389.27 = 243.27 : x
  2. Step 2: Convert to fraction form
    260.89/389.27 = 243.27/x
  3. Step 3: Cross multiply
    260.89x = 389.27 × 243.27
  4. Step 4: Simplify right side
    260.89x = 94,698.32
  5. Step 5: Solve for x
    x = 94,698.32/260.89
  6. Step 6: Final answer
    x = 362.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.