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Finding the Fourth Proportional to 514.34, 771.54 and 185.35

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Solution

The fourth proportional to 514.34, 771.54 and 185.35 is: 278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.34 : 771.54 = 185.35 : x
  2. Step 2: Convert to fraction form
    514.34/771.54 = 185.35/x
  3. Step 3: Cross multiply
    514.34x = 771.54 × 185.35
  4. Step 4: Simplify right side
    514.34x = 143,004.94
  5. Step 5: Solve for x
    x = 143,004.94/514.34
  6. Step 6: Final answer
    x = 278.04

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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.