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Finding the Fourth Proportional to 204.01, 305.98 and 67.06

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Solution

The fourth proportional to 204.01, 305.98 and 67.06 is: 100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.01 : 305.98 = 67.06 : x
  2. Step 2: Convert to fraction form
    204.01/305.98 = 67.06/x
  3. Step 3: Cross multiply
    204.01x = 305.98 × 67.06
  4. Step 4: Simplify right side
    204.01x = 20,519.02
  5. Step 5: Solve for x
    x = 20,519.02/204.01
  6. Step 6: Final answer
    x = 100.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.