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Finding the Fourth Proportional to 233.59, 350.12 and 142.33

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Solution

The fourth proportional to 233.59, 350.12 and 142.33 is: 213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.59 : 350.12 = 142.33 : x
  2. Step 2: Convert to fraction form
    233.59/350.12 = 142.33/x
  3. Step 3: Cross multiply
    233.59x = 350.12 × 142.33
  4. Step 4: Simplify right side
    233.59x = 49,831.87
  5. Step 5: Solve for x
    x = 49,831.87/233.59
  6. Step 6: Final answer
    x = 213.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.