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Finding the Fourth Proportional to 233.20, 350.07 and 185.14

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Solution

The fourth proportional to 233.20, 350.07 and 185.14 is: 277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 350.07 = 185.14 : x
  2. Step 2: Convert to fraction form
    233.20/350.07 = 185.14/x
  3. Step 3: Cross multiply
    233.20x = 350.07 × 185.14
  4. Step 4: Simplify right side
    233.20x = 64,811.96
  5. Step 5: Solve for x
    x = 64,811.96/233.20
  6. Step 6: Final answer
    x = 277.92

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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.