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Finding the Fourth Proportional to 233.06, 321.63 and 134.82

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Solution

The fourth proportional to 233.06, 321.63 and 134.82 is: 186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 321.63 = 134.82 : x
  2. Step 2: Convert to fraction form
    233.06/321.63 = 134.82/x
  3. Step 3: Cross multiply
    233.06x = 321.63 × 134.82
  4. Step 4: Simplify right side
    233.06x = 43,362.16
  5. Step 5: Solve for x
    x = 43,362.16/233.06
  6. Step 6: Final answer
    x = 186.05

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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.