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Finding the Fourth Proportional to 220.41, 304.25 and 146.75

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Solution

The fourth proportional to 220.41, 304.25 and 146.75 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.41 : 304.25 = 146.75 : x
  2. Step 2: Convert to fraction form
    220.41/304.25 = 146.75/x
  3. Step 3: Cross multiply
    220.41x = 304.25 × 146.75
  4. Step 4: Simplify right side
    220.41x = 44,646.43
  5. Step 5: Solve for x
    x = 44,646.43/220.41
  6. Step 6: Final answer
    x = 202.56

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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.