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Finding the Fourth Proportional to 225.70, 310.89 and 173.86

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Solution

The fourth proportional to 225.70, 310.89 and 173.86 is: 239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.70 : 310.89 = 173.86 : x
  2. Step 2: Convert to fraction form
    225.70/310.89 = 173.86/x
  3. Step 3: Cross multiply
    225.70x = 310.89 × 173.86
  4. Step 4: Simplify right side
    225.70x = 54,051.34
  5. Step 5: Solve for x
    x = 54,051.34/225.70
  6. Step 6: Final answer
    x = 239.48

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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.