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Finding the Fourth Proportional to 180.41, 270.68 and 64.86

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Solution

The fourth proportional to 180.41, 270.68 and 64.86 is: 97.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.41 : 270.68 = 64.86 : x
  2. Step 2: Convert to fraction form
    180.41/270.68 = 64.86/x
  3. Step 3: Cross multiply
    180.41x = 270.68 × 64.86
  4. Step 4: Simplify right side
    180.41x = 17,555.98
  5. Step 5: Solve for x
    x = 17,555.98/180.41
  6. Step 6: Final answer
    x = 97.31

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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.