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Finding the Fourth Proportional to 260.66, 390.60 and 116.48

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Solution

The fourth proportional to 260.66, 390.60 and 116.48 is: 174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.66 : 390.60 = 116.48 : x
  2. Step 2: Convert to fraction form
    260.66/390.60 = 116.48/x
  3. Step 3: Cross multiply
    260.66x = 390.60 × 116.48
  4. Step 4: Simplify right side
    260.66x = 45,497.09
  5. Step 5: Solve for x
    x = 45,497.09/260.66
  6. Step 6: Final answer
    x = 174.55

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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.