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Finding the Fourth Proportional to 260.69, 390.83 and 179.69

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Solution

The fourth proportional to 260.69, 390.83 and 179.69 is: 269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.69 : 390.83 = 179.69 : x
  2. Step 2: Convert to fraction form
    260.69/390.83 = 179.69/x
  3. Step 3: Cross multiply
    260.69x = 390.83 × 179.69
  4. Step 4: Simplify right side
    260.69x = 70,225.39
  5. Step 5: Solve for x
    x = 70,225.39/260.69
  6. Step 6: Final answer
    x = 269.39

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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.