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Finding the Fourth Proportional to 181.68, 250.76 and 123.48

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Solution

The fourth proportional to 181.68, 250.76 and 123.48 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.68 : 250.76 = 123.48 : x
  2. Step 2: Convert to fraction form
    181.68/250.76 = 123.48/x
  3. Step 3: Cross multiply
    181.68x = 250.76 × 123.48
  4. Step 4: Simplify right side
    181.68x = 30,963.84
  5. Step 5: Solve for x
    x = 30,963.84/181.68
  6. Step 6: Final answer
    x = 170.43

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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.