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Finding the Fourth Proportional to 260.67, 359.63 and 155.68

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Solution

The fourth proportional to 260.67, 359.63 and 155.68 is: 214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.67 : 359.63 = 155.68 : x
  2. Step 2: Convert to fraction form
    260.67/359.63 = 155.68/x
  3. Step 3: Cross multiply
    260.67x = 359.63 × 155.68
  4. Step 4: Simplify right side
    260.67x = 55,986.42
  5. Step 5: Solve for x
    x = 55,986.42/260.67
  6. Step 6: Final answer
    x = 214.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.