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Finding the Fourth Proportional to 237.84, 328.25 and 164.09

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Solution

The fourth proportional to 237.84, 328.25 and 164.09 is: 226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 328.25 = 164.09 : x
  2. Step 2: Convert to fraction form
    237.84/328.25 = 164.09/x
  3. Step 3: Cross multiply
    237.84x = 328.25 × 164.09
  4. Step 4: Simplify right side
    237.84x = 53,863.77
  5. Step 5: Solve for x
    x = 53,863.77/237.84
  6. Step 6: Final answer
    x = 226.47

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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.