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Finding the Fourth Proportional to 204.76, 306.72 and 123.55

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Solution

The fourth proportional to 204.76, 306.72 and 123.55 is: 185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.76 : 306.72 = 123.55 : x
  2. Step 2: Convert to fraction form
    204.76/306.72 = 123.55/x
  3. Step 3: Cross multiply
    204.76x = 306.72 × 123.55
  4. Step 4: Simplify right side
    204.76x = 37,895.26
  5. Step 5: Solve for x
    x = 37,895.26/204.76
  6. Step 6: Final answer
    x = 185.07

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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.