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Finding the Fourth Proportional to 253.72, 350.14 and 143.24

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Solution

The fourth proportional to 253.72, 350.14 and 143.24 is: 197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.72 : 350.14 = 143.24 : x
  2. Step 2: Convert to fraction form
    253.72/350.14 = 143.24/x
  3. Step 3: Cross multiply
    253.72x = 350.14 × 143.24
  4. Step 4: Simplify right side
    253.72x = 50,151.81
  5. Step 5: Solve for x
    x = 50,151.81/253.72
  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.