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Finding the Fourth Proportional to 283.39, 424.55 and 146.09

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Solution

The fourth proportional to 283.39, 424.55 and 146.09 is: 218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.39 : 424.55 = 146.09 : x
  2. Step 2: Convert to fraction form
    283.39/424.55 = 146.09/x
  3. Step 3: Cross multiply
    283.39x = 424.55 × 146.09
  4. Step 4: Simplify right side
    283.39x = 62,021.78
  5. Step 5: Solve for x
    x = 62,021.78/283.39
  6. Step 6: Final answer
    x = 218.86

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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.