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Finding the Fourth Proportional to 185.64, 256.04 and 141.88

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Solution

The fourth proportional to 185.64, 256.04 and 141.88 is: 195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.64 : 256.04 = 141.88 : x
  2. Step 2: Convert to fraction form
    185.64/256.04 = 141.88/x
  3. Step 3: Cross multiply
    185.64x = 256.04 × 141.88
  4. Step 4: Simplify right side
    185.64x = 36,326.96
  5. Step 5: Solve for x
    x = 36,326.96/185.64
  6. Step 6: Final answer
    x = 195.68

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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.