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Finding the Fourth Proportional to 283.14, 424.14 and 180.48

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Solution

The fourth proportional to 283.14, 424.14 and 180.48 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.14 : 424.14 = 180.48 : x
  2. Step 2: Convert to fraction form
    283.14/424.14 = 180.48/x
  3. Step 3: Cross multiply
    283.14x = 424.14 × 180.48
  4. Step 4: Simplify right side
    283.14x = 76,548.79
  5. Step 5: Solve for x
    x = 76,548.79/283.14
  6. Step 6: Final answer
    x = 270.36

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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.