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Finding the Fourth Proportional to 185.86, 256.24 and 120.24

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Solution

The fourth proportional to 185.86, 256.24 and 120.24 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 256.24 = 120.24 : x
  2. Step 2: Convert to fraction form
    185.86/256.24 = 120.24/x
  3. Step 3: Cross multiply
    185.86x = 256.24 × 120.24
  4. Step 4: Simplify right side
    185.86x = 30,810.30
  5. Step 5: Solve for x
    x = 30,810.30/185.86
  6. Step 6: Final answer
    x = 165.77

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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.