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Finding the Fourth Proportional to 180.84, 270.54 and 120.02

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Solution

The fourth proportional to 180.84, 270.54 and 120.02 is: 179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 270.54 = 120.02 : x
  2. Step 2: Convert to fraction form
    180.84/270.54 = 120.02/x
  3. Step 3: Cross multiply
    180.84x = 270.54 × 120.02
  4. Step 4: Simplify right side
    180.84x = 32,470.21
  5. Step 5: Solve for x
    x = 32,470.21/180.84
  6. Step 6: Final answer
    x = 179.55

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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.