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Finding the Fourth Proportional to 514.06, 771.13 and 185.07

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Solution

The fourth proportional to 514.06, 771.13 and 185.07 is: 277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.06 : 771.13 = 185.07 : x
  2. Step 2: Convert to fraction form
    514.06/771.13 = 185.07/x
  3. Step 3: Cross multiply
    514.06x = 771.13 × 185.07
  4. Step 4: Simplify right side
    514.06x = 142,713.03
  5. Step 5: Solve for x
    x = 142,713.03/514.06
  6. Step 6: Final answer
    x = 277.62

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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.