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Finding the Fourth Proportional to 180, 270 and 123.36

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Solution

The fourth proportional to 180, 270 and 123.36 is: 185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 270 = 123.36 : x
  2. Step 2: Convert to fraction form
    180/270 = 123.36/x
  3. Step 3: Cross multiply
    180x = 270 × 123.36
  4. Step 4: Simplify right side
    180x = 33,307.20
  5. Step 5: Solve for x
    x = 33,307.20/180
  6. Step 6: Final answer
    x = 185.04

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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.