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Finding the Fourth Proportional to 286.29, 429.33 and 103.64

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Solution

The fourth proportional to 286.29, 429.33 and 103.64 is: 155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.29 : 429.33 = 103.64 : x
  2. Step 2: Convert to fraction form
    286.29/429.33 = 103.64/x
  3. Step 3: Cross multiply
    286.29x = 429.33 × 103.64
  4. Step 4: Simplify right side
    286.29x = 44,493.10
  5. Step 5: Solve for x
    x = 44,493.10/286.29
  6. Step 6: Final answer
    x = 155.41

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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.