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Finding the Fourth Proportional to 253.10, 349.23 and 142.57

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Solution

The fourth proportional to 253.10, 349.23 and 142.57 is: 196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.10 : 349.23 = 142.57 : x
  2. Step 2: Convert to fraction form
    253.10/349.23 = 142.57/x
  3. Step 3: Cross multiply
    253.10x = 349.23 × 142.57
  4. Step 4: Simplify right side
    253.10x = 49,789.72
  5. Step 5: Solve for x
    x = 49,789.72/253.10
  6. Step 6: Final answer
    x = 196.72

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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.