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Finding the Fourth Proportional to 181.19, 250 and 107.49

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Solution

The fourth proportional to 181.19, 250 and 107.49 is: 148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.19 : 250 = 107.49 : x
  2. Step 2: Convert to fraction form
    181.19/250 = 107.49/x
  3. Step 3: Cross multiply
    181.19x = 250 × 107.49
  4. Step 4: Simplify right side
    181.19x = 26,872.50
  5. Step 5: Solve for x
    x = 26,872.50/181.19
  6. Step 6: Final answer
    x = 148.31

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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.