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Finding the Fourth Proportional to 312.29, 431.01 and 192.71

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Solution

The fourth proportional to 312.29, 431.01 and 192.71 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.29 : 431.01 = 192.71 : x
  2. Step 2: Convert to fraction form
    312.29/431.01 = 192.71/x
  3. Step 3: Cross multiply
    312.29x = 431.01 × 192.71
  4. Step 4: Simplify right side
    312.29x = 83,056.82
  5. Step 5: Solve for x
    x = 83,056.82/312.29
  6. Step 6: Final answer
    x = 265.96

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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.