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Finding the Fourth Proportional to 175.70, 263.40 and 141.44

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Solution

The fourth proportional to 175.70, 263.40 and 141.44 is: 212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.70 : 263.40 = 141.44 : x
  2. Step 2: Convert to fraction form
    175.70/263.40 = 141.44/x
  3. Step 3: Cross multiply
    175.70x = 263.40 × 141.44
  4. Step 4: Simplify right side
    175.70x = 37,253.98
  5. Step 5: Solve for x
    x = 37,253.98/175.70
  6. Step 6: Final answer
    x = 212.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.