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Finding the Fourth Proportional to 253.18, 349.37 and 142.67

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Solution

The fourth proportional to 253.18, 349.37 and 142.67 is: 196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.18 : 349.37 = 142.67 : x
  2. Step 2: Convert to fraction form
    253.18/349.37 = 142.67/x
  3. Step 3: Cross multiply
    253.18x = 349.37 × 142.67
  4. Step 4: Simplify right side
    253.18x = 49,844.78
  5. Step 5: Solve for x
    x = 49,844.78/253.18
  6. Step 6: Final answer
    x = 196.88

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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.