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Finding the Fourth Proportional to 180.10, 270.22 and 145.71

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Solution

The fourth proportional to 180.10, 270.22 and 145.71 is: 218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.10 : 270.22 = 145.71 : x
  2. Step 2: Convert to fraction form
    180.10/270.22 = 145.71/x
  3. Step 3: Cross multiply
    180.10x = 270.22 × 145.71
  4. Step 4: Simplify right side
    180.10x = 39,374.43
  5. Step 5: Solve for x
    x = 39,374.43/180.10
  6. Step 6: Final answer
    x = 218.63

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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.