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Finding the Fourth Proportional to 233.13, 321.72 and 145.75

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Solution

The fourth proportional to 233.13, 321.72 and 145.75 is: 201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.13 : 321.72 = 145.75 : x
  2. Step 2: Convert to fraction form
    233.13/321.72 = 145.75/x
  3. Step 3: Cross multiply
    233.13x = 321.72 × 145.75
  4. Step 4: Simplify right side
    233.13x = 46,890.69
  5. Step 5: Solve for x
    x = 46,890.69/233.13
  6. Step 6: Final answer
    x = 201.14

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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.