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Finding the Fourth Proportional to 185.40, 256.20 and 141.66

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Solution

The fourth proportional to 185.40, 256.20 and 141.66 is: 195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 256.20 = 141.66 : x
  2. Step 2: Convert to fraction form
    185.40/256.20 = 141.66/x
  3. Step 3: Cross multiply
    185.40x = 256.20 × 141.66
  4. Step 4: Simplify right side
    185.40x = 36,293.29
  5. Step 5: Solve for x
    x = 36,293.29/185.40
  6. Step 6: Final answer
    x = 195.76

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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.