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Finding the Fourth Proportional to 185.46, 278.94 and 168.54

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Solution

The fourth proportional to 185.46, 278.94 and 168.54 is: 253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.46 : 278.94 = 168.54 : x
  2. Step 2: Convert to fraction form
    185.46/278.94 = 168.54/x
  3. Step 3: Cross multiply
    185.46x = 278.94 × 168.54
  4. Step 4: Simplify right side
    185.46x = 47,012.55
  5. Step 5: Solve for x
    x = 47,012.55/185.46
  6. Step 6: Final answer
    x = 253.49

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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.