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Finding the Fourth Proportional to 185.84, 256.38 and 169.28

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Solution

The fourth proportional to 185.84, 256.38 and 169.28 is: 233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.84 : 256.38 = 169.28 : x
  2. Step 2: Convert to fraction form
    185.84/256.38 = 169.28/x
  3. Step 3: Cross multiply
    185.84x = 256.38 × 169.28
  4. Step 4: Simplify right side
    185.84x = 43,400.01
  5. Step 5: Solve for x
    x = 43,400.01/185.84
  6. Step 6: Final answer
    x = 233.53

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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.