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Finding the Fourth Proportional to 181.46, 250.34 and 116.08

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Solution

The fourth proportional to 181.46, 250.34 and 116.08 is: 160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.46 : 250.34 = 116.08 : x
  2. Step 2: Convert to fraction form
    181.46/250.34 = 116.08/x
  3. Step 3: Cross multiply
    181.46x = 250.34 × 116.08
  4. Step 4: Simplify right side
    181.46x = 29,059.47
  5. Step 5: Solve for x
    x = 29,059.47/181.46
  6. Step 6: Final answer
    x = 160.14

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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.