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Finding the Fourth Proportional to 164.20, 237.85 and 164.20

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Solution

The fourth proportional to 164.20, 237.85 and 164.20 is: 237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.20 : 237.85 = 164.20 : x
  2. Step 2: Convert to fraction form
    164.20/237.85 = 164.20/x
  3. Step 3: Cross multiply
    164.20x = 237.85 × 164.20
  4. Step 4: Simplify right side
    164.20x = 39,054.97
  5. Step 5: Solve for x
    x = 39,054.97/164.20
  6. Step 6: Final answer
    x = 237.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.