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Finding the Fourth Proportional to 198.96, 299.55 and 172.50

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Solution

The fourth proportional to 198.96, 299.55 and 172.50 is: 259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.96 : 299.55 = 172.50 : x
  2. Step 2: Convert to fraction form
    198.96/299.55 = 172.50/x
  3. Step 3: Cross multiply
    198.96x = 299.55 × 172.50
  4. Step 4: Simplify right side
    198.96x = 51,672.38
  5. Step 5: Solve for x
    x = 51,672.38/198.96
  6. Step 6: Final answer
    x = 259.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.