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Finding the Fourth Proportional to 185.79, 256.23 and 181.33

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Solution

The fourth proportional to 185.79, 256.23 and 181.33 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.79 : 256.23 = 181.33 : x
  2. Step 2: Convert to fraction form
    185.79/256.23 = 181.33/x
  3. Step 3: Cross multiply
    185.79x = 256.23 × 181.33
  4. Step 4: Simplify right side
    185.79x = 46,462.19
  5. Step 5: Solve for x
    x = 46,462.19/185.79
  6. Step 6: Final answer
    x = 250.08

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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.