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Finding the Fourth Proportional to 233.17, 321.64 and 145.69

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Solution

The fourth proportional to 233.17, 321.64 and 145.69 is: 200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.17 : 321.64 = 145.69 : x
  2. Step 2: Convert to fraction form
    233.17/321.64 = 145.69/x
  3. Step 3: Cross multiply
    233.17x = 321.64 × 145.69
  4. Step 4: Simplify right side
    233.17x = 46,858.56
  5. Step 5: Solve for x
    x = 46,858.56/233.17
  6. Step 6: Final answer
    x = 200.97

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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.