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Finding the Fourth Proportional to 260.84, 391.23 and 106.66

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Solution

The fourth proportional to 260.84, 391.23 and 106.66 is: 159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.84 : 391.23 = 106.66 : x
  2. Step 2: Convert to fraction form
    260.84/391.23 = 106.66/x
  3. Step 3: Cross multiply
    260.84x = 391.23 × 106.66
  4. Step 4: Simplify right side
    260.84x = 41,728.59
  5. Step 5: Solve for x
    x = 41,728.59/260.84
  6. Step 6: Final answer
    x = 159.98

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