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Finding the Fourth Proportional to 184.60, 278.12 and 169.84

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Solution

The fourth proportional to 184.60, 278.12 and 169.84 is: 255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.60 : 278.12 = 169.84 : x
  2. Step 2: Convert to fraction form
    184.60/278.12 = 169.84/x
  3. Step 3: Cross multiply
    184.60x = 278.12 × 169.84
  4. Step 4: Simplify right side
    184.60x = 47,235.90
  5. Step 5: Solve for x
    x = 47,235.90/184.60
  6. Step 6: Final answer
    x = 255.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.