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Finding the Fourth Proportional to 283.65, 425.30 and 180.96

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Solution

The fourth proportional to 283.65, 425.30 and 180.96 is: 271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.65 : 425.30 = 180.96 : x
  2. Step 2: Convert to fraction form
    283.65/425.30 = 180.96/x
  3. Step 3: Cross multiply
    283.65x = 425.30 × 180.96
  4. Step 4: Simplify right side
    283.65x = 76,961.38
  5. Step 5: Solve for x
    x = 76,961.38/283.65
  6. Step 6: Final answer
    x = 271.33

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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.