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Finding the Fourth Proportional to 260.95, 391.58 and 98.65

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Solution

The fourth proportional to 260.95, 391.58 and 98.65 is: 148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.95 : 391.58 = 98.65 : x
  2. Step 2: Convert to fraction form
    260.95/391.58 = 98.65/x
  3. Step 3: Cross multiply
    260.95x = 391.58 × 98.65
  4. Step 4: Simplify right side
    260.95x = 38,629.37
  5. Step 5: Solve for x
    x = 38,629.37/260.95
  6. Step 6: Final answer
    x = 148.03

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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.