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Finding the Fourth Proportional to 237.97, 328.14 and 164.17

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Solution

The fourth proportional to 237.97, 328.14 and 164.17 is: 226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.97 : 328.14 = 164.17 : x
  2. Step 2: Convert to fraction form
    237.97/328.14 = 164.17/x
  3. Step 3: Cross multiply
    237.97x = 328.14 × 164.17
  4. Step 4: Simplify right side
    237.97x = 53,870.74
  5. Step 5: Solve for x
    x = 53,870.74/237.97
  6. Step 6: Final answer
    x = 226.38

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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.