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Finding the Fourth Proportional to 514.70, 771.99 and 149.48

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Solution

The fourth proportional to 514.70, 771.99 and 149.48 is: 224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.70 : 771.99 = 149.48 : x
  2. Step 2: Convert to fraction form
    514.70/771.99 = 149.48/x
  3. Step 3: Cross multiply
    514.70x = 771.99 × 149.48
  4. Step 4: Simplify right side
    514.70x = 115,393.21
  5. Step 5: Solve for x
    x = 115,393.21/514.70
  6. Step 6: Final answer
    x = 224.20

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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.