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Finding the Fourth Proportional to 260.90, 391.73 and 203.22

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Solution

The fourth proportional to 260.90, 391.73 and 203.22 is: 305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.90 : 391.73 = 203.22 : x
  2. Step 2: Convert to fraction form
    260.90/391.73 = 203.22/x
  3. Step 3: Cross multiply
    260.90x = 391.73 × 203.22
  4. Step 4: Simplify right side
    260.90x = 79,607.37
  5. Step 5: Solve for x
    x = 79,607.37/260.90
  6. Step 6: Final answer
    x = 305.13

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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.