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Finding the Fourth Proportional to 172.29, 237.83 and 128.69

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Solution

The fourth proportional to 172.29, 237.83 and 128.69 is: 177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.29 : 237.83 = 128.69 : x
  2. Step 2: Convert to fraction form
    172.29/237.83 = 128.69/x
  3. Step 3: Cross multiply
    172.29x = 237.83 × 128.69
  4. Step 4: Simplify right side
    172.29x = 30,604.51
  5. Step 5: Solve for x
    x = 30,604.51/172.29
  6. Step 6: Final answer
    x = 177.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.