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Finding the Fourth Proportional to 253.90, 350.36 and 141.87

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Solution

The fourth proportional to 253.90, 350.36 and 141.87 is: 195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.90 : 350.36 = 141.87 : x
  2. Step 2: Convert to fraction form
    253.90/350.36 = 141.87/x
  3. Step 3: Cross multiply
    253.90x = 350.36 × 141.87
  4. Step 4: Simplify right side
    253.90x = 49,705.57
  5. Step 5: Solve for x
    x = 49,705.57/253.90
  6. Step 6: Final answer
    x = 195.77

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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.