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Finding the Fourth Proportional to 296.79, 409.56 and 164.01

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Solution

The fourth proportional to 296.79, 409.56 and 164.01 is: 226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.79 : 409.56 = 164.01 : x
  2. Step 2: Convert to fraction form
    296.79/409.56 = 164.01/x
  3. Step 3: Cross multiply
    296.79x = 409.56 × 164.01
  4. Step 4: Simplify right side
    296.79x = 67,171.94
  5. Step 5: Solve for x
    x = 67,171.94/296.79
  6. Step 6: Final answer
    x = 226.33

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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.