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Finding the Fourth Proportional to 242.01, 333.81 and 164.25

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Solution

The fourth proportional to 242.01, 333.81 and 164.25 is: 226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.01 : 333.81 = 164.25 : x
  2. Step 2: Convert to fraction form
    242.01/333.81 = 164.25/x
  3. Step 3: Cross multiply
    242.01x = 333.81 × 164.25
  4. Step 4: Simplify right side
    242.01x = 54,828.29
  5. Step 5: Solve for x
    x = 54,828.29/242.01
  6. Step 6: Final answer
    x = 226.55

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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.