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Finding the Fourth Proportional to 180.43, 270.65 and 72.30

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Solution

The fourth proportional to 180.43, 270.65 and 72.30 is: 108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.43 : 270.65 = 72.30 : x
  2. Step 2: Convert to fraction form
    180.43/270.65 = 72.30/x
  3. Step 3: Cross multiply
    180.43x = 270.65 × 72.30
  4. Step 4: Simplify right side
    180.43x = 19,568.00
  5. Step 5: Solve for x
    x = 19,568.00/180.43
  6. Step 6: Final answer
    x = 108.45

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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.