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Finding the Fourth Proportional to 260.09, 389.31 and 178.69

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Solution

The fourth proportional to 260.09, 389.31 and 178.69 is: 267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.09 : 389.31 = 178.69 : x
  2. Step 2: Convert to fraction form
    260.09/389.31 = 178.69/x
  3. Step 3: Cross multiply
    260.09x = 389.31 × 178.69
  4. Step 4: Simplify right side
    260.09x = 69,564.89
  5. Step 5: Solve for x
    x = 69,564.89/260.09
  6. Step 6: Final answer
    x = 267.46

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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.