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Finding the Fourth Proportional to 220.97, 304.80 and 146.28

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Solution

The fourth proportional to 220.97, 304.80 and 146.28 is: 201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.97 : 304.80 = 146.28 : x
  2. Step 2: Convert to fraction form
    220.97/304.80 = 146.28/x
  3. Step 3: Cross multiply
    220.97x = 304.80 × 146.28
  4. Step 4: Simplify right side
    220.97x = 44,585.02
  5. Step 5: Solve for x
    x = 44,585.02/220.97
  6. Step 6: Final answer
    x = 201.77

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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.