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Finding the Fourth Proportional to 237.06, 326.73 and 184.61

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Solution

The fourth proportional to 237.06, 326.73 and 184.61 is: 254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.06 : 326.73 = 184.61 : x
  2. Step 2: Convert to fraction form
    237.06/326.73 = 184.61/x
  3. Step 3: Cross multiply
    237.06x = 326.73 × 184.61
  4. Step 4: Simplify right side
    237.06x = 60,319.13
  5. Step 5: Solve for x
    x = 60,319.13/237.06
  6. Step 6: Final answer
    x = 254.45

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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.