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Finding the Fourth Proportional to 180.51, 270.77 and 119.57

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Solution

The fourth proportional to 180.51, 270.77 and 119.57 is: 179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.51 : 270.77 = 119.57 : x
  2. Step 2: Convert to fraction form
    180.51/270.77 = 119.57/x
  3. Step 3: Cross multiply
    180.51x = 270.77 × 119.57
  4. Step 4: Simplify right side
    180.51x = 32,374.02
  5. Step 5: Solve for x
    x = 32,374.02/180.51
  6. Step 6: Final answer
    x = 179.35

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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.