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Finding the Fourth Proportional to 302.23, 417.07 and 164.23

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Solution

The fourth proportional to 302.23, 417.07 and 164.23 is: 226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 417.07 = 164.23 : x
  2. Step 2: Convert to fraction form
    302.23/417.07 = 164.23/x
  3. Step 3: Cross multiply
    302.23x = 417.07 × 164.23
  4. Step 4: Simplify right side
    302.23x = 68,495.41
  5. Step 5: Solve for x
    x = 68,495.41/302.23
  6. Step 6: Final answer
    x = 226.63

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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.