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Finding the Fourth Proportional to 172.35, 237.83 and 144.65

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Solution

The fourth proportional to 172.35, 237.83 and 144.65 is: 199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.35 : 237.83 = 144.65 : x
  2. Step 2: Convert to fraction form
    172.35/237.83 = 144.65/x
  3. Step 3: Cross multiply
    172.35x = 237.83 × 144.65
  4. Step 4: Simplify right side
    172.35x = 34,400.20
  5. Step 5: Solve for x
    x = 34,400.20/172.35
  6. Step 6: Final answer
    x = 199.59

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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.