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Finding the Fourth Proportional to 225.48, 338.22 and 161.76

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Solution

The fourth proportional to 225.48, 338.22 and 161.76 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.48 : 338.22 = 161.76 : x
  2. Step 2: Convert to fraction form
    225.48/338.22 = 161.76/x
  3. Step 3: Cross multiply
    225.48x = 338.22 × 161.76
  4. Step 4: Simplify right side
    225.48x = 54,710.47
  5. Step 5: Solve for x
    x = 54,710.47/225.48
  6. Step 6: Final answer
    x = 242.64

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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.