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Finding the Fourth Proportional to 283.73, 425.35 and 110.35

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Solution

The fourth proportional to 283.73, 425.35 and 110.35 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.73 : 425.35 = 110.35 : x
  2. Step 2: Convert to fraction form
    283.73/425.35 = 110.35/x
  3. Step 3: Cross multiply
    283.73x = 425.35 × 110.35
  4. Step 4: Simplify right side
    283.73x = 46,938.04
  5. Step 5: Solve for x
    x = 46,938.04/283.73
  6. Step 6: Final answer
    x = 165.43

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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.