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Finding the Fourth Proportional to 204.08, 305.64 and 112.59

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Solution

The fourth proportional to 204.08, 305.64 and 112.59 is: 168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.08 : 305.64 = 112.59 : x
  2. Step 2: Convert to fraction form
    204.08/305.64 = 112.59/x
  3. Step 3: Cross multiply
    204.08x = 305.64 × 112.59
  4. Step 4: Simplify right side
    204.08x = 34,412.01
  5. Step 5: Solve for x
    x = 34,412.01/204.08
  6. Step 6: Final answer
    x = 168.62

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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.