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Finding the Fourth Proportional to 204.63, 306.23 and 127.53

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Solution

The fourth proportional to 204.63, 306.23 and 127.53 is: 190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.63 : 306.23 = 127.53 : x
  2. Step 2: Convert to fraction form
    204.63/306.23 = 127.53/x
  3. Step 3: Cross multiply
    204.63x = 306.23 × 127.53
  4. Step 4: Simplify right side
    204.63x = 39,052.87
  5. Step 5: Solve for x
    x = 39,052.87/204.63
  6. Step 6: Final answer
    x = 190.85

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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.