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Finding the Fourth Proportional to 260.32, 390.34 and 138.44

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Solution

The fourth proportional to 260.32, 390.34 and 138.44 is: 207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.32 : 390.34 = 138.44 : x
  2. Step 2: Convert to fraction form
    260.32/390.34 = 138.44/x
  3. Step 3: Cross multiply
    260.32x = 390.34 × 138.44
  4. Step 4: Simplify right side
    260.32x = 54,038.67
  5. Step 5: Solve for x
    x = 54,038.67/260.32
  6. Step 6: Final answer
    x = 207.59

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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.