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Finding the Fourth Proportional to 204.21, 305.64 and 123.21

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Solution

The fourth proportional to 204.21, 305.64 and 123.21 is: 184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.21 : 305.64 = 123.21 : x
  2. Step 2: Convert to fraction form
    204.21/305.64 = 123.21/x
  3. Step 3: Cross multiply
    204.21x = 305.64 × 123.21
  4. Step 4: Simplify right side
    204.21x = 37,657.90
  5. Step 5: Solve for x
    x = 37,657.90/204.21
  6. Step 6: Final answer
    x = 184.41

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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.