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Finding the Fourth Proportional to 225.26, 310.98 and 142.42

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Solution

The fourth proportional to 225.26, 310.98 and 142.42 is: 196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.26 : 310.98 = 142.42 : x
  2. Step 2: Convert to fraction form
    225.26/310.98 = 142.42/x
  3. Step 3: Cross multiply
    225.26x = 310.98 × 142.42
  4. Step 4: Simplify right side
    225.26x = 44,289.77
  5. Step 5: Solve for x
    x = 44,289.77/225.26
  6. Step 6: Final answer
    x = 196.62

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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.