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Finding the Fourth Proportional to 237.15, 327.15 and 204.35

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Solution

The fourth proportional to 237.15, 327.15 and 204.35 is: 281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.15 : 327.15 = 204.35 : x
  2. Step 2: Convert to fraction form
    237.15/327.15 = 204.35/x
  3. Step 3: Cross multiply
    237.15x = 327.15 × 204.35
  4. Step 4: Simplify right side
    237.15x = 66,851.47
  5. Step 5: Solve for x
    x = 66,851.47/237.15
  6. Step 6: Final answer
    x = 281.90

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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.