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Finding the Fourth Proportional to 233.79, 350.35 and 182.20

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Solution

The fourth proportional to 233.79, 350.35 and 182.20 is: 273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.79 : 350.35 = 182.20 : x
  2. Step 2: Convert to fraction form
    233.79/350.35 = 182.20/x
  3. Step 3: Cross multiply
    233.79x = 350.35 × 182.20
  4. Step 4: Simplify right side
    233.79x = 63,832.02
  5. Step 5: Solve for x
    x = 63,832.02/233.79
  6. Step 6: Final answer
    x = 273.04

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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.