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Finding the Fourth Proportional to 242.94, 335.19 and 164.40

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Solution

The fourth proportional to 242.94, 335.19 and 164.40 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.94 : 335.19 = 164.40 : x
  2. Step 2: Convert to fraction form
    242.94/335.19 = 164.40/x
  3. Step 3: Cross multiply
    242.94x = 335.19 × 164.40
  4. Step 4: Simplify right side
    242.94x = 55,105.24
  5. Step 5: Solve for x
    x = 55,105.24/242.94
  6. Step 6: Final answer
    x = 226.83

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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.