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Finding the Fourth Proportional to 286.29, 429.53 and 103.71

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Solution

The fourth proportional to 286.29, 429.53 and 103.71 is: 155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.29 : 429.53 = 103.71 : x
  2. Step 2: Convert to fraction form
    286.29/429.53 = 103.71/x
  3. Step 3: Cross multiply
    286.29x = 429.53 × 103.71
  4. Step 4: Simplify right side
    286.29x = 44,544.41
  5. Step 5: Solve for x
    x = 44,544.41/286.29
  6. Step 6: Final answer
    x = 155.59

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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.