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Finding the Fourth Proportional to 233.06, 321.63 and 129.56

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Solution

The fourth proportional to 233.06, 321.63 and 129.56 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 321.63 = 129.56 : x
  2. Step 2: Convert to fraction form
    233.06/321.63 = 129.56/x
  3. Step 3: Cross multiply
    233.06x = 321.63 × 129.56
  4. Step 4: Simplify right side
    233.06x = 41,670.70
  5. Step 5: Solve for x
    x = 41,670.70/233.06
  6. Step 6: Final answer
    x = 178.80

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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.