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Finding the Fourth Proportional to 213.92, 295.28 and 172.72

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Solution

The fourth proportional to 213.92, 295.28 and 172.72 is: 238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 295.28 = 172.72 : x
  2. Step 2: Convert to fraction form
    213.92/295.28 = 172.72/x
  3. Step 3: Cross multiply
    213.92x = 295.28 × 172.72
  4. Step 4: Simplify right side
    213.92x = 51,000.76
  5. Step 5: Solve for x
    x = 51,000.76/213.92
  6. Step 6: Final answer
    x = 238.41

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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.