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Finding the Fourth Proportional to 260.12, 390.12 and 77.47

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Solution

The fourth proportional to 260.12, 390.12 and 77.47 is: 116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 390.12 = 77.47 : x
  2. Step 2: Convert to fraction form
    260.12/390.12 = 77.47/x
  3. Step 3: Cross multiply
    260.12x = 390.12 × 77.47
  4. Step 4: Simplify right side
    260.12x = 30,221.33
  5. Step 5: Solve for x
    x = 30,221.33/260.12
  6. Step 6: Final answer
    x = 116.18

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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.