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Finding the Fourth Proportional to 237.04, 354.75 and 163.94

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Solution

The fourth proportional to 237.04, 354.75 and 163.94 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.04 : 354.75 = 163.94 : x
  2. Step 2: Convert to fraction form
    237.04/354.75 = 163.94/x
  3. Step 3: Cross multiply
    237.04x = 354.75 × 163.94
  4. Step 4: Simplify right side
    237.04x = 58,155.33
  5. Step 5: Solve for x
    x = 58,155.33/237.04
  6. Step 6: Final answer
    x = 245.34

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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.