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Finding the Fourth Proportional to 181.96, 251.24 and 145.08

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Solution

The fourth proportional to 181.96, 251.24 and 145.08 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 251.24 = 145.08 : x
  2. Step 2: Convert to fraction form
    181.96/251.24 = 145.08/x
  3. Step 3: Cross multiply
    181.96x = 251.24 × 145.08
  4. Step 4: Simplify right side
    181.96x = 36,449.90
  5. Step 5: Solve for x
    x = 36,449.90/181.96
  6. Step 6: Final answer
    x = 200.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.