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Finding the Fourth Proportional to 172.46, 237.68 and 137.35

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Solution

The fourth proportional to 172.46, 237.68 and 137.35 is: 189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.46 : 237.68 = 137.35 : x
  2. Step 2: Convert to fraction form
    172.46/237.68 = 137.35/x
  3. Step 3: Cross multiply
    172.46x = 237.68 × 137.35
  4. Step 4: Simplify right side
    172.46x = 32,645.35
  5. Step 5: Solve for x
    x = 32,645.35/172.46
  6. Step 6: Final answer
    x = 189.29

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Why These Related Problems?

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