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Finding the Fourth Proportional to 185.16, 256.05 and 168.84

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Solution

The fourth proportional to 185.16, 256.05 and 168.84 is: 233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.16 : 256.05 = 168.84 : x
  2. Step 2: Convert to fraction form
    185.16/256.05 = 168.84/x
  3. Step 3: Cross multiply
    185.16x = 256.05 × 168.84
  4. Step 4: Simplify right side
    185.16x = 43,231.48
  5. Step 5: Solve for x
    x = 43,231.48/185.16
  6. Step 6: Final answer
    x = 233.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.