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Finding the Fourth Proportional to 237.89, 328.60 and 164.08

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Solution

The fourth proportional to 237.89, 328.60 and 164.08 is: 226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.89 : 328.60 = 164.08 : x
  2. Step 2: Convert to fraction form
    237.89/328.60 = 164.08/x
  3. Step 3: Cross multiply
    237.89x = 328.60 × 164.08
  4. Step 4: Simplify right side
    237.89x = 53,915.46
  5. Step 5: Solve for x
    x = 53,915.46/237.89
  6. Step 6: Final answer
    x = 226.64

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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.