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Finding the Fourth Proportional to 204.00, 305.46 and 171.42

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Solution

The fourth proportional to 204.00, 305.46 and 171.42 is: 256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.00 : 305.46 = 171.42 : x
  2. Step 2: Convert to fraction form
    204.00/305.46 = 171.42/x
  3. Step 3: Cross multiply
    204.00x = 305.46 × 171.42
  4. Step 4: Simplify right side
    204.00x = 52,360.81
  5. Step 5: Solve for x
    x = 52,360.81/204.00
  6. Step 6: Final answer
    x = 256.68

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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.