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Finding the Fourth Proportional to 181.46, 272.81 and 180.56

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Solution

The fourth proportional to 181.46, 272.81 and 180.56 is: 271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.46 : 272.81 = 180.56 : x
  2. Step 2: Convert to fraction form
    181.46/272.81 = 180.56/x
  3. Step 3: Cross multiply
    181.46x = 272.81 × 180.56
  4. Step 4: Simplify right side
    181.46x = 49,259.71
  5. Step 5: Solve for x
    x = 49,259.71/181.46
  6. Step 6: Final answer
    x = 271.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.