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Finding the Fourth Proportional to 185.32, 256.02 and 183.88

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Solution

The fourth proportional to 185.32, 256.02 and 183.88 is: 254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.32 : 256.02 = 183.88 : x
  2. Step 2: Convert to fraction form
    185.32/256.02 = 183.88/x
  3. Step 3: Cross multiply
    185.32x = 256.02 × 183.88
  4. Step 4: Simplify right side
    185.32x = 47,076.96
  5. Step 5: Solve for x
    x = 47,076.96/185.32
  6. Step 6: Final answer
    x = 254.03

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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.