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Finding the Fourth Proportional to 181.46, 250.25 and 142.07

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Solution

The fourth proportional to 181.46, 250.25 and 142.07 is: 195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.46 : 250.25 = 142.07 : x
  2. Step 2: Convert to fraction form
    181.46/250.25 = 142.07/x
  3. Step 3: Cross multiply
    181.46x = 250.25 × 142.07
  4. Step 4: Simplify right side
    181.46x = 35,551.06
  5. Step 5: Solve for x
    x = 35,551.06/181.46
  6. Step 6: Final answer
    x = 195.92

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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.