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Finding the Fourth Proportional to 253.37, 349.54 and 142.82

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Solution

The fourth proportional to 253.37, 349.54 and 142.82 is: 197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.37 : 349.54 = 142.82 : x
  2. Step 2: Convert to fraction form
    253.37/349.54 = 142.82/x
  3. Step 3: Cross multiply
    253.37x = 349.54 × 142.82
  4. Step 4: Simplify right side
    253.37x = 49,921.30
  5. Step 5: Solve for x
    x = 49,921.30/253.37
  6. Step 6: Final answer
    x = 197.03

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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.