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Finding the Fourth Proportional to 260.95, 390.99 and 130.82

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Solution

The fourth proportional to 260.95, 390.99 and 130.82 is: 196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.95 : 390.99 = 130.82 : x
  2. Step 2: Convert to fraction form
    260.95/390.99 = 130.82/x
  3. Step 3: Cross multiply
    260.95x = 390.99 × 130.82
  4. Step 4: Simplify right side
    260.95x = 51,147.30
  5. Step 5: Solve for x
    x = 51,147.30/260.95
  6. Step 6: Final answer
    x = 196.01

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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.