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Finding the Fourth Proportional to 233.07, 321.62 and 132.14

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Solution

The fourth proportional to 233.07, 321.62 and 132.14 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.07 : 321.62 = 132.14 : x
  2. Step 2: Convert to fraction form
    233.07/321.62 = 132.14/x
  3. Step 3: Cross multiply
    233.07x = 321.62 × 132.14
  4. Step 4: Simplify right side
    233.07x = 42,498.87
  5. Step 5: Solve for x
    x = 42,498.87/233.07
  6. Step 6: Final answer
    x = 182.34

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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.