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Finding the Fourth Proportional to 204.84, 306.72 and 113.40

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Solution

The fourth proportional to 204.84, 306.72 and 113.40 is: 169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.84 : 306.72 = 113.40 : x
  2. Step 2: Convert to fraction form
    204.84/306.72 = 113.40/x
  3. Step 3: Cross multiply
    204.84x = 306.72 × 113.40
  4. Step 4: Simplify right side
    204.84x = 34,782.05
  5. Step 5: Solve for x
    x = 34,782.05/204.84
  6. Step 6: Final answer
    x = 169.80

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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.