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Finding the Fourth Proportional to 180.63, 270.54 and 111.93

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Solution

The fourth proportional to 180.63, 270.54 and 111.93 is: 167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.63 : 270.54 = 111.93 : x
  2. Step 2: Convert to fraction form
    180.63/270.54 = 111.93/x
  3. Step 3: Cross multiply
    180.63x = 270.54 × 111.93
  4. Step 4: Simplify right side
    180.63x = 30,281.54
  5. Step 5: Solve for x
    x = 30,281.54/180.63
  6. Step 6: Final answer
    x = 167.64

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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.