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Finding the Fourth Proportional to 292.06, 402.94 and 192.43

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Solution

The fourth proportional to 292.06, 402.94 and 192.43 is: 265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.06 : 402.94 = 192.43 : x
  2. Step 2: Convert to fraction form
    292.06/402.94 = 192.43/x
  3. Step 3: Cross multiply
    292.06x = 402.94 × 192.43
  4. Step 4: Simplify right side
    292.06x = 77,537.74
  5. Step 5: Solve for x
    x = 77,537.74/292.06
  6. Step 6: Final answer
    x = 265.49

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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.