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Finding the Fourth Proportional to 237.39, 355.54 and 204.63

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Solution

The fourth proportional to 237.39, 355.54 and 204.63 is: 306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.39 : 355.54 = 204.63 : x
  2. Step 2: Convert to fraction form
    237.39/355.54 = 204.63/x
  3. Step 3: Cross multiply
    237.39x = 355.54 × 204.63
  4. Step 4: Simplify right side
    237.39x = 72,754.15
  5. Step 5: Solve for x
    x = 72,754.15/237.39
  6. Step 6: Final answer
    x = 306.48

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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.