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Finding the Fourth Proportional to 180.69, 270.69 and 89.25

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Solution

The fourth proportional to 180.69, 270.69 and 89.25 is: 133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.69 : 270.69 = 89.25 : x
  2. Step 2: Convert to fraction form
    180.69/270.69 = 89.25/x
  3. Step 3: Cross multiply
    180.69x = 270.69 × 89.25
  4. Step 4: Simplify right side
    180.69x = 24,159.08
  5. Step 5: Solve for x
    x = 24,159.08/180.69
  6. Step 6: Final answer
    x = 133.70

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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.