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Finding the Fourth Proportional to 181.25, 249.86 and 111.18

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Solution

The fourth proportional to 181.25, 249.86 and 111.18 is: 153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.25 : 249.86 = 111.18 : x
  2. Step 2: Convert to fraction form
    181.25/249.86 = 111.18/x
  3. Step 3: Cross multiply
    181.25x = 249.86 × 111.18
  4. Step 4: Simplify right side
    181.25x = 27,779.82
  5. Step 5: Solve for x
    x = 27,779.82/181.25
  6. Step 6: Final answer
    x = 153.26

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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.