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Finding the Fourth Proportional to 253.38, 349.67 and 142.85

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Solution

The fourth proportional to 253.38, 349.67 and 142.85 is: 197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.38 : 349.67 = 142.85 : x
  2. Step 2: Convert to fraction form
    253.38/349.67 = 142.85/x
  3. Step 3: Cross multiply
    253.38x = 349.67 × 142.85
  4. Step 4: Simplify right side
    253.38x = 49,947.90
  5. Step 5: Solve for x
    x = 49,947.90/253.38
  6. Step 6: Final answer
    x = 197.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.