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Finding the Fourth Proportional to 220.98, 304.80 and 147.29

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Solution

The fourth proportional to 220.98, 304.80 and 147.29 is: 203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.98 : 304.80 = 147.29 : x
  2. Step 2: Convert to fraction form
    220.98/304.80 = 147.29/x
  3. Step 3: Cross multiply
    220.98x = 304.80 × 147.29
  4. Step 4: Simplify right side
    220.98x = 44,891.92
  5. Step 5: Solve for x
    x = 44,891.92/220.98
  6. Step 6: Final answer
    x = 203.15

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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.