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Finding the Fourth Proportional to 260.75, 390.92 and 212.06

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Solution

The fourth proportional to 260.75, 390.92 and 212.06 is: 317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.75 : 390.92 = 212.06 : x
  2. Step 2: Convert to fraction form
    260.75/390.92 = 212.06/x
  3. Step 3: Cross multiply
    260.75x = 390.92 × 212.06
  4. Step 4: Simplify right side
    260.75x = 82,895.48
  5. Step 5: Solve for x
    x = 82,895.48/260.75
  6. Step 6: Final answer
    x = 317.92

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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.