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Finding the Fourth Proportional to 312.51, 431.24 and 172.64

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Solution

The fourth proportional to 312.51, 431.24 and 172.64 is: 238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.51 : 431.24 = 172.64 : x
  2. Step 2: Convert to fraction form
    312.51/431.24 = 172.64/x
  3. Step 3: Cross multiply
    312.51x = 431.24 × 172.64
  4. Step 4: Simplify right side
    312.51x = 74,446.25
  5. Step 5: Solve for x
    x = 74,446.25/312.51
  6. Step 6: Final answer
    x = 238.22

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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.