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Finding the Fourth Proportional to 286.22, 429.40 and 93.84

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Solution

The fourth proportional to 286.22, 429.40 and 93.84 is: 140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.22 : 429.40 = 93.84 : x
  2. Step 2: Convert to fraction form
    286.22/429.40 = 93.84/x
  3. Step 3: Cross multiply
    286.22x = 429.40 × 93.84
  4. Step 4: Simplify right side
    286.22x = 40,294.90
  5. Step 5: Solve for x
    x = 40,294.90/286.22
  6. Step 6: Final answer
    x = 140.78

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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.