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Finding the Fourth Proportional to 204.25, 306.51 and 90.25

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Solution

The fourth proportional to 204.25, 306.51 and 90.25 is: 135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.25 : 306.51 = 90.25 : x
  2. Step 2: Convert to fraction form
    204.25/306.51 = 90.25/x
  3. Step 3: Cross multiply
    204.25x = 306.51 × 90.25
  4. Step 4: Simplify right side
    204.25x = 27,662.53
  5. Step 5: Solve for x
    x = 27,662.53/204.25
  6. Step 6: Final answer
    x = 135.43

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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.