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Finding the Fourth Proportional to 260.52, 390.80 and 222.27

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Solution

The fourth proportional to 260.52, 390.80 and 222.27 is: 333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.52 : 390.80 = 222.27 : x
  2. Step 2: Convert to fraction form
    260.52/390.80 = 222.27/x
  3. Step 3: Cross multiply
    260.52x = 390.80 × 222.27
  4. Step 4: Simplify right side
    260.52x = 86,862.00
  5. Step 5: Solve for x
    x = 86,862.00/260.52
  6. Step 6: Final answer
    x = 333.42

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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.