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Finding the Fourth Proportional to 181.83, 250.72 and 135.29

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Solution

The fourth proportional to 181.83, 250.72 and 135.29 is: 186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.83 : 250.72 = 135.29 : x
  2. Step 2: Convert to fraction form
    181.83/250.72 = 135.29/x
  3. Step 3: Cross multiply
    181.83x = 250.72 × 135.29
  4. Step 4: Simplify right side
    181.83x = 33,918.66
  5. Step 5: Solve for x
    x = 33,918.66/181.83
  6. Step 6: Final answer
    x = 186.54

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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.