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Finding the Fourth Proportional to 260.36, 389.62 and 191.72

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Solution

The fourth proportional to 260.36, 389.62 and 191.72 is: 286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.36 : 389.62 = 191.72 : x
  2. Step 2: Convert to fraction form
    260.36/389.62 = 191.72/x
  3. Step 3: Cross multiply
    260.36x = 389.62 × 191.72
  4. Step 4: Simplify right side
    260.36x = 74,697.95
  5. Step 5: Solve for x
    x = 74,697.95/260.36
  6. Step 6: Final answer
    x = 286.90

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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.