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Finding the Fourth Proportional to 225.82, 310.84 and 160.22

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Solution

The fourth proportional to 225.82, 310.84 and 160.22 is: 220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.82 : 310.84 = 160.22 : x
  2. Step 2: Convert to fraction form
    225.82/310.84 = 160.22/x
  3. Step 3: Cross multiply
    225.82x = 310.84 × 160.22
  4. Step 4: Simplify right side
    225.82x = 49,802.78
  5. Step 5: Solve for x
    x = 49,802.78/225.82
  6. Step 6: Final answer
    x = 220.54

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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.