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Finding the Fourth Proportional to 253.24, 349.47 and 142.71

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Solution

The fourth proportional to 253.24, 349.47 and 142.71 is: 196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 349.47 = 142.71 : x
  2. Step 2: Convert to fraction form
    253.24/349.47 = 142.71/x
  3. Step 3: Cross multiply
    253.24x = 349.47 × 142.71
  4. Step 4: Simplify right side
    253.24x = 49,873.83
  5. Step 5: Solve for x
    x = 49,873.83/253.24
  6. Step 6: Final answer
    x = 196.94

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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.