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Finding the Fourth Proportional to 362.78, 544.09 and 180.11

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Solution

The fourth proportional to 362.78, 544.09 and 180.11 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.78 : 544.09 = 180.11 : x
  2. Step 2: Convert to fraction form
    362.78/544.09 = 180.11/x
  3. Step 3: Cross multiply
    362.78x = 544.09 × 180.11
  4. Step 4: Simplify right side
    362.78x = 97,996.05
  5. Step 5: Solve for x
    x = 97,996.05/362.78
  6. Step 6: Final answer
    x = 270.13

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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.