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Finding the Fourth Proportional to 204, 304.59 and 173.04

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Solution

The fourth proportional to 204, 304.59 and 173.04 is: 258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204 : 304.59 = 173.04 : x
  2. Step 2: Convert to fraction form
    204/304.59 = 173.04/x
  3. Step 3: Cross multiply
    204x = 304.59 × 173.04
  4. Step 4: Simplify right side
    204x = 52,706.25
  5. Step 5: Solve for x
    x = 52,706.25/204
  6. Step 6: Final answer
    x = 258.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.