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Finding the Fourth Proportional to 181.77, 250.50 and 140.25

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Solution

The fourth proportional to 181.77, 250.50 and 140.25 is: 193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.77 : 250.50 = 140.25 : x
  2. Step 2: Convert to fraction form
    181.77/250.50 = 140.25/x
  3. Step 3: Cross multiply
    181.77x = 250.50 × 140.25
  4. Step 4: Simplify right side
    181.77x = 35,132.63
  5. Step 5: Solve for x
    x = 35,132.63/181.77
  6. Step 6: Final answer
    x = 193.28

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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.