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Finding the Fourth Proportional to 514.16, 770.82 and 184.92

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Solution

The fourth proportional to 514.16, 770.82 and 184.92 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.16 : 770.82 = 184.92 : x
  2. Step 2: Convert to fraction form
    514.16/770.82 = 184.92/x
  3. Step 3: Cross multiply
    514.16x = 770.82 × 184.92
  4. Step 4: Simplify right side
    514.16x = 142,540.03
  5. Step 5: Solve for x
    x = 142,540.03/514.16
  6. Step 6: Final answer
    x = 277.23

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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.