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Finding the Fourth Proportional to 260.80, 390.58 and 169.37

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Solution

The fourth proportional to 260.80, 390.58 and 169.37 is: 253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.80 : 390.58 = 169.37 : x
  2. Step 2: Convert to fraction form
    260.80/390.58 = 169.37/x
  3. Step 3: Cross multiply
    260.80x = 390.58 × 169.37
  4. Step 4: Simplify right side
    260.80x = 66,152.53
  5. Step 5: Solve for x
    x = 66,152.53/260.80
  6. Step 6: Final answer
    x = 253.65

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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.