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Finding the Fourth Proportional to 759.98, 1,140.01 and 212.22

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Solution

The fourth proportional to 759.98, 1,140.01 and 212.22 is: 318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.98 : 1,140.01 = 212.22 : x
  2. Step 2: Convert to fraction form
    759.98/1,140.01 = 212.22/x
  3. Step 3: Cross multiply
    759.98x = 1,140.01 × 212.22
  4. Step 4: Simplify right side
    759.98x = 241,932.39
  5. Step 5: Solve for x
    x = 241,932.39/759.98
  6. Step 6: Final answer
    x = 318.34

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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.