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Finding the Fourth Proportional to 185.95, 256.75 and 141.77

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Solution

The fourth proportional to 185.95, 256.75 and 141.77 is: 195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.95 : 256.75 = 141.77 : x
  2. Step 2: Convert to fraction form
    185.95/256.75 = 141.77/x
  3. Step 3: Cross multiply
    185.95x = 256.75 × 141.77
  4. Step 4: Simplify right side
    185.95x = 36,399.45
  5. Step 5: Solve for x
    x = 36,399.45/185.95
  6. Step 6: Final answer
    x = 195.75

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