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Finding the Fourth Proportional to 180.20, 248.78 and 144.66

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Solution

The fourth proportional to 180.20, 248.78 and 144.66 is: 199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.20 : 248.78 = 144.66 : x
  2. Step 2: Convert to fraction form
    180.20/248.78 = 144.66/x
  3. Step 3: Cross multiply
    180.20x = 248.78 × 144.66
  4. Step 4: Simplify right side
    180.20x = 35,989.40
  5. Step 5: Solve for x
    x = 35,989.40/180.20
  6. Step 6: Final answer
    x = 199.72

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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.