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Finding the Fourth Proportional to 181.87, 250.00 and 148.61

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Solution

The fourth proportional to 181.87, 250.00 and 148.61 is: 204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.87 : 250.00 = 148.61 : x
  2. Step 2: Convert to fraction form
    181.87/250.00 = 148.61/x
  3. Step 3: Cross multiply
    181.87x = 250.00 × 148.61
  4. Step 4: Simplify right side
    181.87x = 37,152.75
  5. Step 5: Solve for x
    x = 37,152.75/181.87
  6. Step 6: Final answer
    x = 204.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.