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Finding the Fourth Proportional to 253.74, 350.15 and 143.21

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Solution

The fourth proportional to 253.74, 350.15 and 143.21 is: 197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.74 : 350.15 = 143.21 : x
  2. Step 2: Convert to fraction form
    253.74/350.15 = 143.21/x
  3. Step 3: Cross multiply
    253.74x = 350.15 × 143.21
  4. Step 4: Simplify right side
    253.74x = 50,142.51
  5. Step 5: Solve for x
    x = 50,142.51/253.74
  6. Step 6: Final answer
    x = 197.61

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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.