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Finding the Fourth Proportional to 204.87, 306.85 and 177.08

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Solution

The fourth proportional to 204.87, 306.85 and 177.08 is: 265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.87 : 306.85 = 177.08 : x
  2. Step 2: Convert to fraction form
    204.87/306.85 = 177.08/x
  3. Step 3: Cross multiply
    204.87x = 306.85 × 177.08
  4. Step 4: Simplify right side
    204.87x = 54,335.02
  5. Step 5: Solve for x
    x = 54,335.02/204.87
  6. Step 6: Final answer
    x = 265.22

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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.