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Finding the Fourth Proportional to 297.06, 409.91 and 164.28

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Solution

The fourth proportional to 297.06, 409.91 and 164.28 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.06 : 409.91 = 164.28 : x
  2. Step 2: Convert to fraction form
    297.06/409.91 = 164.28/x
  3. Step 3: Cross multiply
    297.06x = 409.91 × 164.28
  4. Step 4: Simplify right side
    297.06x = 67,339.19
  5. Step 5: Solve for x
    x = 67,339.19/297.06
  6. Step 6: Final answer
    x = 226.69

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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.