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Finding the Fourth Proportional to 284.06, 391.88 and 166.03

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Solution

The fourth proportional to 284.06, 391.88 and 166.03 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 391.88 = 166.03 : x
  2. Step 2: Convert to fraction form
    284.06/391.88 = 166.03/x
  3. Step 3: Cross multiply
    284.06x = 391.88 × 166.03
  4. Step 4: Simplify right side
    284.06x = 65,063.84
  5. Step 5: Solve for x
    x = 65,063.84/284.06
  6. Step 6: Final answer
    x = 229.05

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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.