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Finding the Fourth Proportional to 253.70, 350.14 and 143.22

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Solution

The fourth proportional to 253.70, 350.14 and 143.22 is: 197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.70 : 350.14 = 143.22 : x
  2. Step 2: Convert to fraction form
    253.70/350.14 = 143.22/x
  3. Step 3: Cross multiply
    253.70x = 350.14 × 143.22
  4. Step 4: Simplify right side
    253.70x = 50,146.30
  5. Step 5: Solve for x
    x = 50,146.30/253.70
  6. Step 6: Final answer
    x = 197.66

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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.