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Finding the Fourth Proportional to 260.45, 390.72 and 77.83

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Solution

The fourth proportional to 260.45, 390.72 and 77.83 is: 116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.45 : 390.72 = 77.83 : x
  2. Step 2: Convert to fraction form
    260.45/390.72 = 77.83/x
  3. Step 3: Cross multiply
    260.45x = 390.72 × 77.83
  4. Step 4: Simplify right side
    260.45x = 30,407.59
  5. Step 5: Solve for x
    x = 30,407.59/260.45
  6. Step 6: Final answer
    x = 116.75

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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.