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Finding the Fourth Proportional to 181.84, 252.62 and 180.15

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Solution

The fourth proportional to 181.84, 252.62 and 180.15 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.84 : 252.62 = 180.15 : x
  2. Step 2: Convert to fraction form
    181.84/252.62 = 180.15/x
  3. Step 3: Cross multiply
    181.84x = 252.62 × 180.15
  4. Step 4: Simplify right side
    181.84x = 45,509.49
  5. Step 5: Solve for x
    x = 45,509.49/181.84
  6. Step 6: Final answer
    x = 250.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.