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Finding the Fourth Proportional to 260.02, 389.51 and 195.09

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Solution

The fourth proportional to 260.02, 389.51 and 195.09 is: 292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.02 : 389.51 = 195.09 : x
  2. Step 2: Convert to fraction form
    260.02/389.51 = 195.09/x
  3. Step 3: Cross multiply
    260.02x = 389.51 × 195.09
  4. Step 4: Simplify right side
    260.02x = 75,989.45
  5. Step 5: Solve for x
    x = 75,989.45/260.02
  6. Step 6: Final answer
    x = 292.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.