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Finding the Fourth Proportional to 202.89, 304.20 and 172.65

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Solution

The fourth proportional to 202.89, 304.20 and 172.65 is: 258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.89 : 304.20 = 172.65 : x
  2. Step 2: Convert to fraction form
    202.89/304.20 = 172.65/x
  3. Step 3: Cross multiply
    202.89x = 304.20 × 172.65
  4. Step 4: Simplify right side
    202.89x = 52,520.13
  5. Step 5: Solve for x
    x = 52,520.13/202.89
  6. Step 6: Final answer
    x = 258.86

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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.