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Finding the Fourth Proportional to 302, 416.76 and 164

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Solution

The fourth proportional to 302, 416.76 and 164 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302 : 416.76 = 164 : x
  2. Step 2: Convert to fraction form
    302/416.76 = 164/x
  3. Step 3: Cross multiply
    302x = 416.76 × 164
  4. Step 4: Simplify right side
    302x = 68,348.64
  5. Step 5: Solve for x
    x = 68,348.64/302
  6. Step 6: Final answer
    x = 226.32

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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.