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Finding the Fourth Proportional to 260.84, 391.20 and 116.66

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Solution

The fourth proportional to 260.84, 391.20 and 116.66 is: 174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.84 : 391.20 = 116.66 : x
  2. Step 2: Convert to fraction form
    260.84/391.20 = 116.66/x
  3. Step 3: Cross multiply
    260.84x = 391.20 × 116.66
  4. Step 4: Simplify right side
    260.84x = 45,637.39
  5. Step 5: Solve for x
    x = 45,637.39/260.84
  6. Step 6: Final answer
    x = 174.96

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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.