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Finding the Fourth Proportional to 233.28, 350.53 and 198.05

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Solution

The fourth proportional to 233.28, 350.53 and 198.05 is: 297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.28 : 350.53 = 198.05 : x
  2. Step 2: Convert to fraction form
    233.28/350.53 = 198.05/x
  3. Step 3: Cross multiply
    233.28x = 350.53 × 198.05
  4. Step 4: Simplify right side
    233.28x = 69,420.22
  5. Step 5: Solve for x
    x = 69,420.22/233.28
  6. Step 6: Final answer
    x = 297.58

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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.