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Finding the Fourth Proportional to 312.63, 431.41 and 172.72

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Solution

The fourth proportional to 312.63, 431.41 and 172.72 is: 238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.63 : 431.41 = 172.72 : x
  2. Step 2: Convert to fraction form
    312.63/431.41 = 172.72/x
  3. Step 3: Cross multiply
    312.63x = 431.41 × 172.72
  4. Step 4: Simplify right side
    312.63x = 74,510.11
  5. Step 5: Solve for x
    x = 74,510.11/312.63
  6. Step 6: Final answer
    x = 238.34

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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.