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Finding the Fourth Proportional to 260.76, 359.58 and 224.04

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Solution

The fourth proportional to 260.76, 359.58 and 224.04 is: 308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.76 : 359.58 = 224.04 : x
  2. Step 2: Convert to fraction form
    260.76/359.58 = 224.04/x
  3. Step 3: Cross multiply
    260.76x = 359.58 × 224.04
  4. Step 4: Simplify right side
    260.76x = 80,560.30
  5. Step 5: Solve for x
    x = 80,560.30/260.76
  6. Step 6: Final answer
    x = 308.94

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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.