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Finding the Fourth Proportional to 180.90, 249.48 and 170.64

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Solution

The fourth proportional to 180.90, 249.48 and 170.64 is: 235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.90 : 249.48 = 170.64 : x
  2. Step 2: Convert to fraction form
    180.90/249.48 = 170.64/x
  3. Step 3: Cross multiply
    180.90x = 249.48 × 170.64
  4. Step 4: Simplify right side
    180.90x = 42,571.27
  5. Step 5: Solve for x
    x = 42,571.27/180.90
  6. Step 6: Final answer
    x = 235.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.