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Finding the Fourth Proportional to 204.32, 306.46 and 60.04

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Solution

The fourth proportional to 204.32, 306.46 and 60.04 is: 90.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.32 : 306.46 = 60.04 : x
  2. Step 2: Convert to fraction form
    204.32/306.46 = 60.04/x
  3. Step 3: Cross multiply
    204.32x = 306.46 × 60.04
  4. Step 4: Simplify right side
    204.32x = 18,399.86
  5. Step 5: Solve for x
    x = 18,399.86/204.32
  6. Step 6: Final answer
    x = 90.05

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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.