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Finding the Fourth Proportional to 237.94, 328.34 and 133.04

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Solution

The fourth proportional to 237.94, 328.34 and 133.04 is: 183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.94 : 328.34 = 133.04 : x
  2. Step 2: Convert to fraction form
    237.94/328.34 = 133.04/x
  3. Step 3: Cross multiply
    237.94x = 328.34 × 133.04
  4. Step 4: Simplify right side
    237.94x = 43,682.35
  5. Step 5: Solve for x
    x = 43,682.35/237.94
  6. Step 6: Final answer
    x = 183.59

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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.