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Finding the Fourth Proportional to 180.43, 270.64 and 165.05

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Solution

The fourth proportional to 180.43, 270.64 and 165.05 is: 247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.43 : 270.64 = 165.05 : x
  2. Step 2: Convert to fraction form
    180.43/270.64 = 165.05/x
  3. Step 3: Cross multiply
    180.43x = 270.64 × 165.05
  4. Step 4: Simplify right side
    180.43x = 44,669.38
  5. Step 5: Solve for x
    x = 44,669.38/180.43
  6. Step 6: Final answer
    x = 247.58

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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.