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Finding the Fourth Proportional to 146.88, 220.59 and 137.16

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Solution

The fourth proportional to 146.88, 220.59 and 137.16 is: 205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.88 : 220.59 = 137.16 : x
  2. Step 2: Convert to fraction form
    146.88/220.59 = 137.16/x
  3. Step 3: Cross multiply
    146.88x = 220.59 × 137.16
  4. Step 4: Simplify right side
    146.88x = 30,256.12
  5. Step 5: Solve for x
    x = 30,256.12/146.88
  6. Step 6: Final answer
    x = 205.99

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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.