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Finding the Fourth Proportional to 260.12, 390.21 and 86.81

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Solution

The fourth proportional to 260.12, 390.21 and 86.81 is: 130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 390.21 = 86.81 : x
  2. Step 2: Convert to fraction form
    260.12/390.21 = 86.81/x
  3. Step 3: Cross multiply
    260.12x = 390.21 × 86.81
  4. Step 4: Simplify right side
    260.12x = 33,874.78
  5. Step 5: Solve for x
    x = 33,874.78/260.12
  6. Step 6: Final answer
    x = 130.23

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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.