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Finding the Fourth Proportional to 284.33, 392.31 and 173.77

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Solution

The fourth proportional to 284.33, 392.31 and 173.77 is: 239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.33 : 392.31 = 173.77 : x
  2. Step 2: Convert to fraction form
    284.33/392.31 = 173.77/x
  3. Step 3: Cross multiply
    284.33x = 392.31 × 173.77
  4. Step 4: Simplify right side
    284.33x = 68,170.73
  5. Step 5: Solve for x
    x = 68,170.73/284.33
  6. Step 6: Final answer
    x = 239.76

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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.