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Finding the Fourth Proportional to 172.77, 238.32 and 144.69

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Solution

The fourth proportional to 172.77, 238.32 and 144.69 is: 199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.77 : 238.32 = 144.69 : x
  2. Step 2: Convert to fraction form
    172.77/238.32 = 144.69/x
  3. Step 3: Cross multiply
    172.77x = 238.32 × 144.69
  4. Step 4: Simplify right side
    172.77x = 34,482.52
  5. Step 5: Solve for x
    x = 34,482.52/172.77
  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.