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Finding the Fourth Proportional to 237.63, 355.77 and 164.34

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Solution

The fourth proportional to 237.63, 355.77 and 164.34 is: 246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.63 : 355.77 = 164.34 : x
  2. Step 2: Convert to fraction form
    237.63/355.77 = 164.34/x
  3. Step 3: Cross multiply
    237.63x = 355.77 × 164.34
  4. Step 4: Simplify right side
    237.63x = 58,467.24
  5. Step 5: Solve for x
    x = 58,467.24/237.63
  6. Step 6: Final answer
    x = 246.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.