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Finding the Fourth Proportional to 514.65, 771.77 and 185.49

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Solution

The fourth proportional to 514.65, 771.77 and 185.49 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.65 : 771.77 = 185.49 : x
  2. Step 2: Convert to fraction form
    514.65/771.77 = 185.49/x
  3. Step 3: Cross multiply
    514.65x = 771.77 × 185.49
  4. Step 4: Simplify right side
    514.65x = 143,156.08
  5. Step 5: Solve for x
    x = 143,156.08/514.65
  6. Step 6: Final answer
    x = 278.16

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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.