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Finding the Fourth Proportional to 283.27, 424.24 and 146.14

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Solution

The fourth proportional to 283.27, 424.24 and 146.14 is: 218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.27 : 424.24 = 146.14 : x
  2. Step 2: Convert to fraction form
    283.27/424.24 = 146.14/x
  3. Step 3: Cross multiply
    283.27x = 424.24 × 146.14
  4. Step 4: Simplify right side
    283.27x = 61,998.43
  5. Step 5: Solve for x
    x = 61,998.43/283.27
  6. Step 6: Final answer
    x = 218.87

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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.