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Finding the Fourth Proportional to 260.14, 390.36 and 138.48

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Solution

The fourth proportional to 260.14, 390.36 and 138.48 is: 207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.14 : 390.36 = 138.48 : x
  2. Step 2: Convert to fraction form
    260.14/390.36 = 138.48/x
  3. Step 3: Cross multiply
    260.14x = 390.36 × 138.48
  4. Step 4: Simplify right side
    260.14x = 54,057.05
  5. Step 5: Solve for x
    x = 54,057.05/260.14
  6. Step 6: Final answer
    x = 207.80

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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.