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Finding the Fourth Proportional to 200.41, 301.20 and 172.15

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Solution

The fourth proportional to 200.41, 301.20 and 172.15 is: 258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.41 : 301.20 = 172.15 : x
  2. Step 2: Convert to fraction form
    200.41/301.20 = 172.15/x
  3. Step 3: Cross multiply
    200.41x = 301.20 × 172.15
  4. Step 4: Simplify right side
    200.41x = 51,851.58
  5. Step 5: Solve for x
    x = 51,851.58/200.41
  6. Step 6: Final answer
    x = 258.73

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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.