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Finding the Fourth Proportional to 253.85, 350.35 and 143.35

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Solution

The fourth proportional to 253.85, 350.35 and 143.35 is: 197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.85 : 350.35 = 143.35 : x
  2. Step 2: Convert to fraction form
    253.85/350.35 = 143.35/x
  3. Step 3: Cross multiply
    253.85x = 350.35 × 143.35
  4. Step 4: Simplify right side
    253.85x = 50,220.20
  5. Step 5: Solve for x
    x = 50,220.20/253.85
  6. Step 6: Final answer
    x = 197.83

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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.