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Finding the Fourth Proportional to 302.26, 417.12 and 167.68

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Solution

The fourth proportional to 302.26, 417.12 and 167.68 is: 231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.26 : 417.12 = 167.68 : x
  2. Step 2: Convert to fraction form
    302.26/417.12 = 167.68/x
  3. Step 3: Cross multiply
    302.26x = 417.12 × 167.68
  4. Step 4: Simplify right side
    302.26x = 69,940.60
  5. Step 5: Solve for x
    x = 69,940.60/302.26
  6. Step 6: Final answer
    x = 231.39

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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.