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Finding the Fourth Proportional to 204.51, 306.39 and 96.15

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Solution

The fourth proportional to 204.51, 306.39 and 96.15 is: 144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.51 : 306.39 = 96.15 : x
  2. Step 2: Convert to fraction form
    204.51/306.39 = 96.15/x
  3. Step 3: Cross multiply
    204.51x = 306.39 × 96.15
  4. Step 4: Simplify right side
    204.51x = 29,459.40
  5. Step 5: Solve for x
    x = 29,459.40/204.51
  6. Step 6: Final answer
    x = 144.05

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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.