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Finding the Fourth Proportional to 284.73, 392.97 and 168.29

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Solution

The fourth proportional to 284.73, 392.97 and 168.29 is: 232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.73 : 392.97 = 168.29 : x
  2. Step 2: Convert to fraction form
    284.73/392.97 = 168.29/x
  3. Step 3: Cross multiply
    284.73x = 392.97 × 168.29
  4. Step 4: Simplify right side
    284.73x = 66,130.96
  5. Step 5: Solve for x
    x = 66,130.96/284.73
  6. Step 6: Final answer
    x = 232.26

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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.