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Finding the Fourth Proportional to 181.74, 250.90 and 116.26

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Solution

The fourth proportional to 181.74, 250.90 and 116.26 is: 160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.74 : 250.90 = 116.26 : x
  2. Step 2: Convert to fraction form
    181.74/250.90 = 116.26/x
  3. Step 3: Cross multiply
    181.74x = 250.90 × 116.26
  4. Step 4: Simplify right side
    181.74x = 29,169.63
  5. Step 5: Solve for x
    x = 29,169.63/181.74
  6. Step 6: Final answer
    x = 160.50

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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.