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Finding the Fourth Proportional to 260.57, 390.96 and 138.80

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Solution

The fourth proportional to 260.57, 390.96 and 138.80 is: 208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.57 : 390.96 = 138.80 : x
  2. Step 2: Convert to fraction form
    260.57/390.96 = 138.80/x
  3. Step 3: Cross multiply
    260.57x = 390.96 × 138.80
  4. Step 4: Simplify right side
    260.57x = 54,264.03
  5. Step 5: Solve for x
    x = 54,264.03/260.57
  6. Step 6: Final answer
    x = 208.25

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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.