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Finding the Fourth Proportional to 181.80, 250.88 and 111.85

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Solution

The fourth proportional to 181.80, 250.88 and 111.85 is: 154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 250.88 = 111.85 : x
  2. Step 2: Convert to fraction form
    181.80/250.88 = 111.85/x
  3. Step 3: Cross multiply
    181.80x = 250.88 × 111.85
  4. Step 4: Simplify right side
    181.80x = 28,060.93
  5. Step 5: Solve for x
    x = 28,060.93/181.80
  6. Step 6: Final answer
    x = 154.35

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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.