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Finding the Fourth Proportional to 260.64, 391.05 and 116.25

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Solution

The fourth proportional to 260.64, 391.05 and 116.25 is: 174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.64 : 391.05 = 116.25 : x
  2. Step 2: Convert to fraction form
    260.64/391.05 = 116.25/x
  3. Step 3: Cross multiply
    260.64x = 391.05 × 116.25
  4. Step 4: Simplify right side
    260.64x = 45,459.56
  5. Step 5: Solve for x
    x = 45,459.56/260.64
  6. Step 6: Final answer
    x = 174.42

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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.