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Finding the Fourth Proportional to 181.61, 250.63 and 102.94

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Solution

The fourth proportional to 181.61, 250.63 and 102.94 is: 142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.61 : 250.63 = 102.94 : x
  2. Step 2: Convert to fraction form
    181.61/250.63 = 102.94/x
  3. Step 3: Cross multiply
    181.61x = 250.63 × 102.94
  4. Step 4: Simplify right side
    181.61x = 25,798.97
  5. Step 5: Solve for x
    x = 25,798.97/181.61
  6. Step 6: Final answer
    x = 142.06

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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.