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Finding the Fourth Proportional to 283.22, 424.13 and 180.20

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Solution

The fourth proportional to 283.22, 424.13 and 180.20 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.22 : 424.13 = 180.20 : x
  2. Step 2: Convert to fraction form
    283.22/424.13 = 180.20/x
  3. Step 3: Cross multiply
    283.22x = 424.13 × 180.20
  4. Step 4: Simplify right side
    283.22x = 76,429.06
  5. Step 5: Solve for x
    x = 76,429.06/283.22
  6. Step 6: Final answer
    x = 269.86

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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.