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Finding the Fourth Proportional to 220.38, 304.28 and 146.80

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Solution

The fourth proportional to 220.38, 304.28 and 146.80 is: 202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.38 : 304.28 = 146.80 : x
  2. Step 2: Convert to fraction form
    220.38/304.28 = 146.80/x
  3. Step 3: Cross multiply
    220.38x = 304.28 × 146.80
  4. Step 4: Simplify right side
    220.38x = 44,668.30
  5. Step 5: Solve for x
    x = 44,668.30/220.38
  6. Step 6: Final answer
    x = 202.69

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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.