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Finding the Fourth Proportional to 260.42, 390.62 and 77.81

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Solution

The fourth proportional to 260.42, 390.62 and 77.81 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.42 : 390.62 = 77.81 : x
  2. Step 2: Convert to fraction form
    260.42/390.62 = 77.81/x
  3. Step 3: Cross multiply
    260.42x = 390.62 × 77.81
  4. Step 4: Simplify right side
    260.42x = 30,391.80
  5. Step 5: Solve for x
    x = 30,391.80/260.42
  6. Step 6: Final answer
    x = 116.71

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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.