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Finding the Fourth Proportional to 233.09, 321.62 and 145.74

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Solution

The fourth proportional to 233.09, 321.62 and 145.74 is: 201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.09 : 321.62 = 145.74 : x
  2. Step 2: Convert to fraction form
    233.09/321.62 = 145.74/x
  3. Step 3: Cross multiply
    233.09x = 321.62 × 145.74
  4. Step 4: Simplify right side
    233.09x = 46,872.17
  5. Step 5: Solve for x
    x = 46,872.17/233.09
  6. Step 6: Final answer
    x = 201.09

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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.