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Finding the Fourth Proportional to 771.03, 1,156.72 and 223.19

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Solution

The fourth proportional to 771.03, 1,156.72 and 223.19 is: 334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.03 : 1,156.72 = 223.19 : x
  2. Step 2: Convert to fraction form
    771.03/1,156.72 = 223.19/x
  3. Step 3: Cross multiply
    771.03x = 1,156.72 × 223.19
  4. Step 4: Simplify right side
    771.03x = 258,168.34
  5. Step 5: Solve for x
    x = 258,168.34/771.03
  6. Step 6: Final answer
    x = 334.84

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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.