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Finding the Fourth Proportional to 181.30, 250.16 and 115.82

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Solution

The fourth proportional to 181.30, 250.16 and 115.82 is: 159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.30 : 250.16 = 115.82 : x
  2. Step 2: Convert to fraction form
    181.30/250.16 = 115.82/x
  3. Step 3: Cross multiply
    181.30x = 250.16 × 115.82
  4. Step 4: Simplify right side
    181.30x = 28,973.53
  5. Step 5: Solve for x
    x = 28,973.53/181.30
  6. Step 6: Final answer
    x = 159.81

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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.