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Finding the Fourth Proportional to 284.06, 392.00 and 159.73

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Solution

The fourth proportional to 284.06, 392.00 and 159.73 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 392.00 = 159.73 : x
  2. Step 2: Convert to fraction form
    284.06/392.00 = 159.73/x
  3. Step 3: Cross multiply
    284.06x = 392.00 × 159.73
  4. Step 4: Simplify right side
    284.06x = 62,611.40
  5. Step 5: Solve for x
    x = 62,611.40/284.06
  6. Step 6: Final answer
    x = 220.42

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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.