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Finding the Fourth Proportional to 242.31, 334.49 and 172.38

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Solution

The fourth proportional to 242.31, 334.49 and 172.38 is: 237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.31 : 334.49 = 172.38 : x
  2. Step 2: Convert to fraction form
    242.31/334.49 = 172.38/x
  3. Step 3: Cross multiply
    242.31x = 334.49 × 172.38
  4. Step 4: Simplify right side
    242.31x = 57,659.39
  5. Step 5: Solve for x
    x = 57,659.39/242.31
  6. Step 6: Final answer
    x = 237.96

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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.