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Finding the Fourth Proportional to 204.79, 306.85 and 89.07

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Solution

The fourth proportional to 204.79, 306.85 and 89.07 is: 133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.79 : 306.85 = 89.07 : x
  2. Step 2: Convert to fraction form
    204.79/306.85 = 89.07/x
  3. Step 3: Cross multiply
    204.79x = 306.85 × 89.07
  4. Step 4: Simplify right side
    204.79x = 27,329.73
  5. Step 5: Solve for x
    x = 27,329.73/204.79
  6. Step 6: Final answer
    x = 133.45

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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.