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Finding the Fourth Proportional to 260.43, 390.42 and 169.07

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Solution

The fourth proportional to 260.43, 390.42 and 169.07 is: 253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.43 : 390.42 = 169.07 : x
  2. Step 2: Convert to fraction form
    260.43/390.42 = 169.07/x
  3. Step 3: Cross multiply
    260.43x = 390.42 × 169.07
  4. Step 4: Simplify right side
    260.43x = 66,006.36
  5. Step 5: Solve for x
    x = 66,006.36/260.43
  6. Step 6: Final answer
    x = 253.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.