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Finding the Fourth Proportional to 233.26, 321.93 and 145.93

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Solution

The fourth proportional to 233.26, 321.93 and 145.93 is: 201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.26 : 321.93 = 145.93 : x
  2. Step 2: Convert to fraction form
    233.26/321.93 = 145.93/x
  3. Step 3: Cross multiply
    233.26x = 321.93 × 145.93
  4. Step 4: Simplify right side
    233.26x = 46,979.24
  5. Step 5: Solve for x
    x = 46,979.24/233.26
  6. Step 6: Final answer
    x = 201.40

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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.