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Finding the Fourth Proportional to 283.06, 423.88 and 160.96

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Solution

The fourth proportional to 283.06, 423.88 and 160.96 is: 241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.06 : 423.88 = 160.96 : x
  2. Step 2: Convert to fraction form
    283.06/423.88 = 160.96/x
  3. Step 3: Cross multiply
    283.06x = 423.88 × 160.96
  4. Step 4: Simplify right side
    283.06x = 68,227.72
  5. Step 5: Solve for x
    x = 68,227.72/283.06
  6. Step 6: Final answer
    x = 241.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.