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Finding the Fourth Proportional to 172.78, 238.06 and 117.42

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Solution

The fourth proportional to 172.78, 238.06 and 117.42 is: 161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.78 : 238.06 = 117.42 : x
  2. Step 2: Convert to fraction form
    172.78/238.06 = 117.42/x
  3. Step 3: Cross multiply
    172.78x = 238.06 × 117.42
  4. Step 4: Simplify right side
    172.78x = 27,953.01
  5. Step 5: Solve for x
    x = 27,953.01/172.78
  6. Step 6: Final answer
    x = 161.78

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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.