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Finding the Fourth Proportional to 146.88, 220 and 145.24

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Solution

The fourth proportional to 146.88, 220 and 145.24 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.88 : 220 = 145.24 : x
  2. Step 2: Convert to fraction form
    146.88/220 = 145.24/x
  3. Step 3: Cross multiply
    146.88x = 220 × 145.24
  4. Step 4: Simplify right side
    146.88x = 31,952.80
  5. Step 5: Solve for x
    x = 31,952.80/146.88
  6. Step 6: Final answer
    x = 217.54

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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.