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Finding the Fourth Proportional to 146.97, 220.33 and 120.24

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Solution

The fourth proportional to 146.97, 220.33 and 120.24 is: 180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.97 : 220.33 = 120.24 : x
  2. Step 2: Convert to fraction form
    146.97/220.33 = 120.24/x
  3. Step 3: Cross multiply
    146.97x = 220.33 × 120.24
  4. Step 4: Simplify right side
    146.97x = 26,492.48
  5. Step 5: Solve for x
    x = 26,492.48/146.97
  6. Step 6: Final answer
    x = 180.26

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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.