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Finding the Fourth Proportional to 771.30, 1,156.68 and 223.33

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Solution

The fourth proportional to 771.30, 1,156.68 and 223.33 is: 334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,156.68 = 223.33 : x
  2. Step 2: Convert to fraction form
    771.30/1,156.68 = 223.33/x
  3. Step 3: Cross multiply
    771.30x = 1,156.68 × 223.33
  4. Step 4: Simplify right side
    771.30x = 258,323.87
  5. Step 5: Solve for x
    x = 258,323.87/771.30
  6. Step 6: Final answer
    x = 334.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.