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Finding the Fourth Proportional to 286, 428.72 and 194.71

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Solution

The fourth proportional to 286, 428.72 and 194.71 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 428.72 = 194.71 : x
  2. Step 2: Convert to fraction form
    286/428.72 = 194.71/x
  3. Step 3: Cross multiply
    286x = 428.72 × 194.71
  4. Step 4: Simplify right side
    286x = 83,476.07
  5. Step 5: Solve for x
    x = 83,476.07/286
  6. Step 6: Final answer
    x = 291.87

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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.