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Finding the Fourth Proportional to 296.87, 409.64 and 164.06

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Solution

The fourth proportional to 296.87, 409.64 and 164.06 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.87 : 409.64 = 164.06 : x
  2. Step 2: Convert to fraction form
    296.87/409.64 = 164.06/x
  3. Step 3: Cross multiply
    296.87x = 409.64 × 164.06
  4. Step 4: Simplify right side
    296.87x = 67,202.67
  5. Step 5: Solve for x
    x = 67,202.67/296.87
  6. Step 6: Final answer
    x = 226.37

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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.