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Finding the Fourth Proportional to 181.80, 250.92 and 123.66

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Solution

The fourth proportional to 181.80, 250.92 and 123.66 is: 170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 250.92 = 123.66 : x
  2. Step 2: Convert to fraction form
    181.80/250.92 = 123.66/x
  3. Step 3: Cross multiply
    181.80x = 250.92 × 123.66
  4. Step 4: Simplify right side
    181.80x = 31,028.77
  5. Step 5: Solve for x
    x = 31,028.77/181.80
  6. Step 6: Final answer
    x = 170.68

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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.