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Finding the Fourth Proportional to 181.49, 250.31 and 111.53

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Solution

The fourth proportional to 181.49, 250.31 and 111.53 is: 153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.49 : 250.31 = 111.53 : x
  2. Step 2: Convert to fraction form
    181.49/250.31 = 111.53/x
  3. Step 3: Cross multiply
    181.49x = 250.31 × 111.53
  4. Step 4: Simplify right side
    181.49x = 27,915.27
  5. Step 5: Solve for x
    x = 27,915.27/181.49
  6. Step 6: Final answer
    x = 153.82

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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.