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Finding the Fourth Proportional to 771.30, 1,156.82 and 223.43

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Solution

The fourth proportional to 771.30, 1,156.82 and 223.43 is: 335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,156.82 = 223.43 : x
  2. Step 2: Convert to fraction form
    771.30/1,156.82 = 223.43/x
  3. Step 3: Cross multiply
    771.30x = 1,156.82 × 223.43
  4. Step 4: Simplify right side
    771.30x = 258,461.39
  5. Step 5: Solve for x
    x = 258,461.39/771.30
  6. Step 6: Final answer
    x = 335.10

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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.