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Finding the Fourth Proportional to 514.38, 771.63 and 149.23

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Solution

The fourth proportional to 514.38, 771.63 and 149.23 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.38 : 771.63 = 149.23 : x
  2. Step 2: Convert to fraction form
    514.38/771.63 = 149.23/x
  3. Step 3: Cross multiply
    514.38x = 771.63 × 149.23
  4. Step 4: Simplify right side
    514.38x = 115,145.74
  5. Step 5: Solve for x
    x = 115,145.74/514.38
  6. Step 6: Final answer
    x = 223.85

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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.